On homogenization of solutions of boundary value problems in domains, perforated along manifolds. Zbl 1170.35320
Lobo, M.; Oleinik, O. A.; Perez, M. E.; Shaposhnikova, T. A. |
|
1997
|
Homogenization of boundary value problems in perforated domains with the third boundary condition and the resulting change in the character of the nonlinearity in the problem. Zbl 1217.35049
Zubova, M. N.; Shaposhnikova, T. A. |
|
2011
|
On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary. Zbl 0878.35011
Oleinik, Olga A.; Shaposhnikova, Tatiana A. |
|
1996
|
On homogenization of nonlinear Robin type boundary conditions for cavities along manifolds and associated spectral problems. Zbl 1263.35023
Gómez, D.; Pérez, E.; Shaposhnikova, T. A. |
|
2012
|
On homogenization problems for the Laplace operator in partially perforated domains with Neumann’s condition on the boundary of cavities. Zbl 0848.35009
Oleinik, Olga A.; Shaposhnikova, Tatiana |
|
1995
|
Homogenization of a variational inequality for the Laplace operator with nonlinear restriction for the flux on the interior boundary of a perforated domain. Zbl 1295.35048
Jäger, Willi; Neuss-Radu, Maria; Shaposhnikova, Tatiana A. |
|
2014
|
Homogenization problem in a domain perforated by tiny isoperimetric holes with nonlinear Robin type boundary conditions. Zbl 1307.35031
Pérez, M. E.; Zubova, M. N.; Shaposhnikova, T. A. |
|
2014
|
Change of homogenized absorption term in diffusion processes with reaction on the boundary of periodically distributed asymmetric particles of critical size. Zbl 1370.35031
Ildefonso Díaz, Jesús; Gómez-Castro, David; Shaposhnikova, Tatiana A.; Zubova, Maria N. |
|
2017
|
Averaging of variational inequalities for the Laplacian with nonlinear restrictions along manifolds. Zbl 1262.35021
Gómez, D.; Lobo, M.; Pérez, M. E.; Shaposhnikova, T. A. |
|
2013
|
Unilateral problems for the \(p\)-Laplace operator in perforated media involving large parameters. Zbl 1409.35023
Gómez, Delfina; Lobo, Miguel; Pérez, Eugenia; Podolskii, Alexander V.; Shaposhnikova, Tatiana A. |
|
2018
|
Boundary homogenization in perforated domains for adsorption problems with an advection term. Zbl 1362.35034
Brillard, A.; Gómez, D.; Lobo, M.; Pérez, E.; Shaposhnikova, T. A. |
|
2016
|
Averaging of boundary-value problem in domain perforated along \((n - 1)\)-dimensional manifold with nonlinear third type boundary conditions on the boundary of cavities. Zbl 1233.35075
Lobo, M.; Perez, M. E.; Sukharev, V. V.; Shaposhnikova, T. A. |
|
2011
|
Homogenization of variational inequalities of Signorini type for the \(p\)-Laplacian in perforated domains when \(p\in(1, 2)\). Zbl 1370.35036
Díaz, J. I.; Gómez-Castro, D.; Podolskiy, A. V.; Shaposhnikova, T. A. |
|
2017
|
Homogenization of a net of periodic critically scaled boundary obstacles related to reverse osmosis “nano-composite” membranes. Zbl 1421.35016
Díaz, Jesús Ildefonso; Gómez-Castro, David; Podolskiy, Alexander V.; Shaposhnikova, Tatiana A. |
|
2020
|
On critical parameters in homogenization of perforated domains by thin tubes with nonlinear flux and related spectral problems. Zbl 1332.35025
Gómez, D.; Lobo, M.; Pérez, M. E.; Shaposhnikova, T. A.; Zubova, M. N. |
|
2015
|
Homogenization for the \(p\)-Laplacian in an \(n\)-dimensional domain perforated by very thin cavities with a nonlinear boundary condition on their boundary in the case \(p\) = \(n\). Zbl 1332.35031
Podol’skiy, A. V.; Shaposhnikova, T. A. |
|
2015
|
Homogenization limit for the boundary value problem with the \(p\)-Laplace operator and a nonlinear third boundary condition on the boundary of the holes in a perforated domain. Zbl 1408.35005
Shaposhnikova, T.; Podolskiy, A. |
|
2012
|
Homogenization of the \(p\)-Laplacian with nonlinear boundary condition on critical size particles: identifying the strange term for the some non smooth and multivalued operators. Zbl 1458.35185
Diaz, J. I.; Gómez-Castro, D.; Podol’skii, A. V.; Shaposhnikova, T. A. |
|
2016
|
A nonlocal memory strange term arising in the critical scale homogenization of diffusion equations with dynamic boundary conditions. Zbl 1421.35017
Ildefonso Diaz, Jesus; Gomez-Castro, David; Shaposhnikova, Tatiana A.; Zubova, Maria N. |
|
2019
|
Homogenization for the \(p\)-Laplace operator and nonlinear Robin boundary conditions in perforated media along \((n - 1)\)-dimensional manifolds. Zbl 1305.35136
Gómez, D.; Lobo, M.; Pérez, E.; Podolskiy, A. V.; Shaposhnikova, T. A. |
|
2014
|
Classification of homogenized limits of diffusion problems with spatially dependent reaction over critical-size particles. Zbl 1428.35025
Díaz, J. I.; Gómez-Castro, D.; Shaposhnikova, T. A.; Zubova, M. N. |
|
2019
|
Homogenization of variational inequalities for the \(p\)-Laplace operator in perforated media along manifolds. Zbl 1416.35030
Gómez, D.; Pérez, E.; Podolskii, A. V.; Shaposhnikova, T. A. |
|
2019
|
Spectral boundary homogenization problems in perforated domains with Robin boundary conditions and large parameters. Zbl 1292.35184
Gómez, D.; Pérez, M. E.; Shaposhnikova, T. A. |
|
2013
|
On the asymptotic limit of the effectiveness of reaction-diffusion equations in periodically structured media. Zbl 1373.35018
Díaz, J. I.; Gómez-Castro, D.; Podolskii, A. V.; Shaposhnikova, T. A. |
|
2017
|
Homogenization limit for the diffusion equation in a domain perforated along \((n - 1)\)-dimensional manifold with dynamic conditions on the boundary of the perforations: critical case. Zbl 1428.35031
Zubova, M. N.; Shaposhnikova, T. A. |
|
2019
|
Characterizing the strange term in critical size homogenization: quasilinear equations with a general microscopic boundary condition. Zbl 1416.35029
Díaz, Jesus Ildefonso; Gómez-Castro, David; Podol’skii, Alexander V.; Shaposhnikova, Tatiana A. |
|
2019
|
Homogenization limit for the diffusion equation with nonlinear flux condition on the boundary of very thin holes periodically distributed in a domain, in case of a critical size. Zbl 1213.35061
Jäger, W.; Neuss-Radu, M.; Shaposhnikova, T. A. |
|
2010
|
Homogenization of a boundary-value problem in a domain perforated by cavities of arbitrary shape with a general nonlinear boundary condition on their boundaries: the case of critical values of the parameters. Zbl 1435.35040
Zubova, M. N.; Shaposhnikova, T. A. |
|
2020
|
Homogenization of the Neumann problem in a domain a part of which is a set of channels. Zbl 1035.35011
Shaposhnikova, T. A. |
|
2001
|
A strange non-local monotone operator arising in the homogenization of a diffusion equation with dynamic nonlinear boundary conditions on particles of critical size and arbitrary shape. Zbl 1496.35040
Diaz, Jesús Ildefonso; Shaposhnikova, Tatiana A.; Zubova, Maria N. |
|
2022
|
Boundary homogenization of a variational inequality with nonlinear restrictions for the flux on small regions lying on a part of the boundary. Zbl 1269.35003
Pérez, M. E.; Shaposhnikova, T. A. |
|
2012
|
Homogenization of the boundary value problem for the Laplace operator in a domain perforated along (\(n\) - 1)-dimensional manifold with nonlinear Robin type boundary condition on the boundary of arbitrary shaped holes: critical case. Zbl 1391.35041
Podolskiy, A. V.; Shaposhnikova, T. A. |
|
2017
|
Homogenization of boundary value problems in plane domains with frequently alternating type of nonlinear boundary conditions: critical case. Zbl 1403.35033
Díaz, J. I.; Gómez-Castro, D.; Podolskiy, A. V.; Shaposhnikova, T. A. |
|
2018
|
Homogenizaton of a nonhomogeneous Signorini problem for the Poisson equation in a periodically perforated domain. Zbl 1173.35428
Vorob’ev, A. Yu.; Shaposhnikova, T. A. |
|
2003
|
On the convergence of controls and cost functionals in some optimal control heterogeneous problems when the homogenization process gives rise to some strange terms. Zbl 1479.35251
Díaz, J. I.; Podolskiy, A. V.; Shaposhnikova, T. A. |
|
2022
|
Homogenization for the \(p\)-Laplace operator in perforated media with nonlinear restrictions on the boundary of the perforations: A critical case. Zbl 1332.35026
Gómez, D.; Pérez, M. E.; Podolskiy, A. V.; Shaposhnikova, T. A. |
|
2015
|
Averaging of boundary-value problems for the Laplace operator in perforated domains with a nonlinear boundary condition of the third type on the boundary of cavities. Zbl 1277.35145
Zubova, M. N.; Shaposhnikova, T. A. |
|
2013
|
On homogenization of solutions of the Poisson equation in a perforated domain with different types of boundary conditions on different cavities. Zbl 0903.35005
Jäger, W.; Oleinik, O. A.; Shaposhnikova, T. A. |
|
1997
|
Homogenization of solutions of the Poisson equation in a domain perforated along a hypersurface, with mixed boundary conditions on the boundary of the cavities. Zbl 0921.35015
Jäger, W.; Oleinik, O. A.; Shaposhnikova, T. A. |
|
1998
|
Homogenization problem for a parabolic variational inequality with constraints on subsets situated on the boundary of the domain. Zbl 1156.35317
Shaposhnikova, T. A.; Zubova, M. N. |
|
2008
|
Homogenization of the boundary value problem for the Laplace operator in a perforated domain with a rapidly oscillating nonhomogeneous Robin-type condition on the boundary of holes in the critical case. Zbl 1375.35030
Zubova, M. N.; Shaposhnikova, T. A. |
|
2017
|
Homogenization problem in domain perforated by thin tubes with nonlinear Robin type boundary condition. Zbl 1284.35338
Gómez, D.; Lobo, M.; Perez, M. E.; Shaposhnikova, T. A.; Zubova, M. N. |
|
2013
|
Non existence of critical scales in the homogenization of the problem with \(p\)-Laplace diffusion and nonlinear reaction in the boundary of periodically distributed particles in \(n\)-dimensional domains when \(p > n\). Zbl 1390.35013
Díaz, J. I.; Gómez-Castro, D.; Podolskii, A. V.; Shaposhnikova, T. A. |
|
2018
|
Homogenization of a variational inequality for the \(p\)-Laplacian in perforated media with nonlinear restrictions for the flux on the boundary of isoperimetric perforations: \(p\) equal to the dimension of the space. Zbl 1343.49014
Gomez, D.; Pérez, Maria E.; Lobo, Miguel; Podolsky, A. V.; Shaposhnikova, T. A. |
|
2016
|
On boundary-value problems in domains perforated along manifolds. Zbl 0918.35019
Lobo, M.; Oleinik, O. A.; Perez, M. E.; Shaposhnikova, T. A. |
|
1997
|
On the averaging for a partially perforated domain with a mixed boundary condition with a small parameter on the cavity boundary. Zbl 0866.35014
Oleinik, O. A.; Shaposhnikova, T. A. |
|
1995
|
Homogenization of the diffusion equation with nonlinear flux condition on the interior boundary of a perforated domain – the influence of the scaling on the nonlinearity in the effective sink-source term. Zbl 1291.35112
Jäger, W.; Neuss-Radu, M.; Shaposhnikova, T. A. |
|
2011
|
Homogenization of the variational inequality corresponding to a problem with rapidly varying boundary conditions. Zbl 1157.35010
Zubova, M. N.; Shaposhnikova, T. A. |
|
2007
|
Optimal control and “strange” term arising from homogenization of the Poisson equation in the perforated domain with the Robin-type boundary condition in the critical case. Zbl 1479.35252
Podolskiy, A. V.; Shaposhnikova, T. A. |
|
2020
|
Appearance of a nonlocal monotone operator in transmission conditions when homogenizing the Poisson equation in a domain perforated along an \((n - 1)\)-dimensional manifold by sets of arbitrary shape and critical size with nonlinear dynamic boundary conditions on the boundary of perforations. Zbl 1465.35042
Zubova, M. N.; Shaposhnikova, T. A. |
|
2021
|
On boundary homogenization of variational inequalities. Zbl 1196.35042
Shaposhnikova, T. A.; Zubova, M. N. |
|
2009
|
Scale limit of a variational inequality modeling diffusive flux in a domain with small holes and strong adsorption in case of a critical scaling. Zbl 1233.35104
Jäger, W.; Neuss-Radu, M.; Shaposhnikova, T. A. |
|
2011
|
Homogenization of variational inequality for the Laplace operator with nonlinear constraint on the flow in a domain perforated by arbitrary shaped sets. Critical case. Zbl 1402.35035
Shaposhnikova, T. A.; Zubova, M. N. |
|
2018
|
On the Dirichlet problem for the biharmonic equation in a domain, perforated along manifolds of small dimension. Zbl 0894.31003
Oleinik, O. A.; Shaposhnikova, T. A. |
|
1996
|
The asymptotic expansion of the solution to the Cauchy problem for a parabolic equation in a perforated space. Zbl 0917.35009
Shaposhnikova, T. A. |
|
1996
|
Homogenization of boundary value problems in perforated domains of nonperiodic structure. Zbl 1003.35044
Oleinik, O. A.; Shaposhnikova, T. A. |
|
1998
|
On the homogenization of an optimal control problem in a domain perforated by holes of critical size and arbitrary shape. Zbl 1491.35019
Díaz, J. I.; Podolskiy, A. V.; Shaposhnikova, T. A. |
|
2022
|
Averaging of the biharmonic equation in a domain perforated along low-dimensional manifolds. Zbl 0882.31001
Oleinik, O. A.; Shaposhnikova, T. A. |
|
1996
|
On homogenization of the mixed boundary value problem for the heat equation in a domain whose part contains channels arranged in a periodic way. Zbl 0971.35012
Olejnik, O. A.; Shaposhnikova, T. A. |
|
1997
|
Homogenization of the boundary-value problem for the biharmonic equation in a domain containing thin canals of small length. Zbl 1041.35014
Shaposhnikova, T. A. |
|
2001
|
On homogenization of variational inequalities with obstacles on \(\varepsilon\)-periodically situated inclusions. Zbl 1085.49014
Zubova, M. N.; Shaposhnikova, T. A. |
|
2005
|
A time-dependent strange term arising in homogenization of an elliptic problem with rapidly alternating Neumann and dynamic boundary conditions specified at the domain boundary: the critical case. Zbl 1477.35020
Díaz, J. I.; Gómez-Castro, D.; Shaposhnikova, T. A.; Zubova, M. N. |
|
2020
|
Homogenization of a boundary value problem for the \(n\)-Laplace operator on a \(n\)-dimensional domain with rapidly alternating boundary condition type: the critical case. Zbl 1421.35019
Podolskiy, A. V.; Shaposhnikova, T. A. |
|
2019
|
On homogenization of nonlinear Robin type boundary conditions for the \(n\)-Laplacian in \(n\)-dimensional perforated domains. Zbl 1409.35024
Gómez, D.; Pérez, E.; Podol’skii, A. V.; Shaposhnikova, T. A. |
|
2017
|
Vladimir Alexandrovich Kondratiev. July 2, 1935–March 11, 2010. Zbl 1277.01013
Agranovich, M. S.; Astashova, I. V.; Bagirov, L. A.; Vlasov, V. V.; Zhikov, V. V.; Ilyashenko, Yu. S.; Kozlov, V. V.; Kon’kov, A. A; Pokhozhaev, S. I.; Radkevich, E. V.; Rozov, N. Kh.; Sergeev, I. N.; Skubachevskii, A. L.; Chechkin, G. A.; Shamaev, A. S.; Shaposhnikova, T. A. |
|
2013
|
Homogenization of the boundary value problem for the Poisson equation with rapidly oscillating nonlinear boundary conditions: Space dimension \(n \geq 3\), critical case. Zbl 1421.35018
Podolskiy, A. V.; Shaposhnikova, T. A. |
|
2019
|
On averaging of elliptic problems in perforated domains with non-periodic structure. Zbl 0919.35016
Oleinik, O. A.; Shaposhnikova, T. A. |
|
1997
|
Boundary control and homogenization: optimal climatization through smart double skin boundaries. Zbl 1524.35059
Díaz, J. I.; Podolskiy, A. V.; Shaposhnikova, T. A. |
|
2022
|
On the convergence of solutions of one boundary value problem for the biharmonic equation in a domain dependent on small parameter \(\varepsilon\). Zbl 1045.35021
Gavrilov, I. A.; Shaposhnikova, T. A. |
|
2003
|
On the averaging of a boundary value problem for the biharmonic equation in a domain containing thin short channels. Zbl 1090.35503
Shaposhnikova, T. A.; Shaposhnikova, T. L. |
|
2001
|
On homogenization of a boundary value problem in a domain with thin channels of a small length. Zbl 1005.35016
Oleinik, Olga A.; Shaposhnikova, Tatiana A. |
|
2000
|
On the convergence of solutions of parabolic equations with rapidly oscillating coefficients in perforated domains. Zbl 0844.35008
Shaposhnikova, T. A. |
|
1994
|
On homogenization of variational inequalities with obstacles on \(\varepsilon\)-periodically situated along \(n-1\) dimension manifold inclusions. Zbl 1127.35312
Zubova, M. N.; Shaposhnikova, T. A. |
|
2007
|
On the homogenization of some boundary-value problems in domains with thin channels. Zbl 1120.35009
Shaposhnikova, T. A. |
|
2005
|
Aperiodical isoperimetric planar homogenization with critical diameter: universal non-local strange term for a dynamical unilateral boundary condition. Zbl 1541.35027
Díaz, J. I.; Shaposhnikova, T. A.; Podolskiy, A. V. |
|
2024
|
Aperiodical isoperimetric planar homogenization with critical diameter: universal non-local strange term for a dynamical unilateral boundary condition. Zbl 1541.35027
Díaz, J. I.; Shaposhnikova, T. A.; Podolskiy, A. V. |
|
2024
|
A strange non-local monotone operator arising in the homogenization of a diffusion equation with dynamic nonlinear boundary conditions on particles of critical size and arbitrary shape. Zbl 1496.35040
Diaz, Jesús Ildefonso; Shaposhnikova, Tatiana A.; Zubova, Maria N. |
|
2022
|
On the convergence of controls and cost functionals in some optimal control heterogeneous problems when the homogenization process gives rise to some strange terms. Zbl 1479.35251
Díaz, J. I.; Podolskiy, A. V.; Shaposhnikova, T. A. |
|
2022
|
On the homogenization of an optimal control problem in a domain perforated by holes of critical size and arbitrary shape. Zbl 1491.35019
Díaz, J. I.; Podolskiy, A. V.; Shaposhnikova, T. A. |
|
2022
|
Boundary control and homogenization: optimal climatization through smart double skin boundaries. Zbl 1524.35059
Díaz, J. I.; Podolskiy, A. V.; Shaposhnikova, T. A. |
|
2022
|
Appearance of a nonlocal monotone operator in transmission conditions when homogenizing the Poisson equation in a domain perforated along an \((n - 1)\)-dimensional manifold by sets of arbitrary shape and critical size with nonlinear dynamic boundary conditions on the boundary of perforations. Zbl 1465.35042
Zubova, M. N.; Shaposhnikova, T. A. |
|
2021
|
Homogenization of a net of periodic critically scaled boundary obstacles related to reverse osmosis “nano-composite” membranes. Zbl 1421.35016
Díaz, Jesús Ildefonso; Gómez-Castro, David; Podolskiy, Alexander V.; Shaposhnikova, Tatiana A. |
|
2020
|
Homogenization of a boundary-value problem in a domain perforated by cavities of arbitrary shape with a general nonlinear boundary condition on their boundaries: the case of critical values of the parameters. Zbl 1435.35040
Zubova, M. N.; Shaposhnikova, T. A. |
|
2020
|
Optimal control and “strange” term arising from homogenization of the Poisson equation in the perforated domain with the Robin-type boundary condition in the critical case. Zbl 1479.35252
Podolskiy, A. V.; Shaposhnikova, T. A. |
|
2020
|
A time-dependent strange term arising in homogenization of an elliptic problem with rapidly alternating Neumann and dynamic boundary conditions specified at the domain boundary: the critical case. Zbl 1477.35020
Díaz, J. I.; Gómez-Castro, D.; Shaposhnikova, T. A.; Zubova, M. N. |
|
2020
|
A nonlocal memory strange term arising in the critical scale homogenization of diffusion equations with dynamic boundary conditions. Zbl 1421.35017
Ildefonso Diaz, Jesus; Gomez-Castro, David; Shaposhnikova, Tatiana A.; Zubova, Maria N. |
|
2019
|
Classification of homogenized limits of diffusion problems with spatially dependent reaction over critical-size particles. Zbl 1428.35025
Díaz, J. I.; Gómez-Castro, D.; Shaposhnikova, T. A.; Zubova, M. N. |
|
2019
|
Homogenization of variational inequalities for the \(p\)-Laplace operator in perforated media along manifolds. Zbl 1416.35030
Gómez, D.; Pérez, E.; Podolskii, A. V.; Shaposhnikova, T. A. |
|
2019
|
Homogenization limit for the diffusion equation in a domain perforated along \((n - 1)\)-dimensional manifold with dynamic conditions on the boundary of the perforations: critical case. Zbl 1428.35031
Zubova, M. N.; Shaposhnikova, T. A. |
|
2019
|
Characterizing the strange term in critical size homogenization: quasilinear equations with a general microscopic boundary condition. Zbl 1416.35029
Díaz, Jesus Ildefonso; Gómez-Castro, David; Podol’skii, Alexander V.; Shaposhnikova, Tatiana A. |
|
2019
|
Homogenization of a boundary value problem for the \(n\)-Laplace operator on a \(n\)-dimensional domain with rapidly alternating boundary condition type: the critical case. Zbl 1421.35019
Podolskiy, A. V.; Shaposhnikova, T. A. |
|
2019
|
Homogenization of the boundary value problem for the Poisson equation with rapidly oscillating nonlinear boundary conditions: Space dimension \(n \geq 3\), critical case. Zbl 1421.35018
Podolskiy, A. V.; Shaposhnikova, T. A. |
|
2019
|
Unilateral problems for the \(p\)-Laplace operator in perforated media involving large parameters. Zbl 1409.35023
Gómez, Delfina; Lobo, Miguel; Pérez, Eugenia; Podolskii, Alexander V.; Shaposhnikova, Tatiana A. |
|
2018
|
Homogenization of boundary value problems in plane domains with frequently alternating type of nonlinear boundary conditions: critical case. Zbl 1403.35033
Díaz, J. I.; Gómez-Castro, D.; Podolskiy, A. V.; Shaposhnikova, T. A. |
|
2018
|
Non existence of critical scales in the homogenization of the problem with \(p\)-Laplace diffusion and nonlinear reaction in the boundary of periodically distributed particles in \(n\)-dimensional domains when \(p > n\). Zbl 1390.35013
Díaz, J. I.; Gómez-Castro, D.; Podolskii, A. V.; Shaposhnikova, T. A. |
|
2018
|
Homogenization of variational inequality for the Laplace operator with nonlinear constraint on the flow in a domain perforated by arbitrary shaped sets. Critical case. Zbl 1402.35035
Shaposhnikova, T. A.; Zubova, M. N. |
|
2018
|
Change of homogenized absorption term in diffusion processes with reaction on the boundary of periodically distributed asymmetric particles of critical size. Zbl 1370.35031
Ildefonso Díaz, Jesús; Gómez-Castro, David; Shaposhnikova, Tatiana A.; Zubova, Maria N. |
|
2017
|
Homogenization of variational inequalities of Signorini type for the \(p\)-Laplacian in perforated domains when \(p\in(1, 2)\). Zbl 1370.35036
Díaz, J. I.; Gómez-Castro, D.; Podolskiy, A. V.; Shaposhnikova, T. A. |
|
2017
|
On the asymptotic limit of the effectiveness of reaction-diffusion equations in periodically structured media. Zbl 1373.35018
Díaz, J. I.; Gómez-Castro, D.; Podolskii, A. V.; Shaposhnikova, T. A. |
|
2017
|
Homogenization of the boundary value problem for the Laplace operator in a domain perforated along (\(n\) - 1)-dimensional manifold with nonlinear Robin type boundary condition on the boundary of arbitrary shaped holes: critical case. Zbl 1391.35041
Podolskiy, A. V.; Shaposhnikova, T. A. |
|
2017
|
Homogenization of the boundary value problem for the Laplace operator in a perforated domain with a rapidly oscillating nonhomogeneous Robin-type condition on the boundary of holes in the critical case. Zbl 1375.35030
Zubova, M. N.; Shaposhnikova, T. A. |
|
2017
|
On homogenization of nonlinear Robin type boundary conditions for the \(n\)-Laplacian in \(n\)-dimensional perforated domains. Zbl 1409.35024
Gómez, D.; Pérez, E.; Podol’skii, A. V.; Shaposhnikova, T. A. |
|
2017
|
Boundary homogenization in perforated domains for adsorption problems with an advection term. Zbl 1362.35034
Brillard, A.; Gómez, D.; Lobo, M.; Pérez, E.; Shaposhnikova, T. A. |
|
2016
|
Homogenization of the \(p\)-Laplacian with nonlinear boundary condition on critical size particles: identifying the strange term for the some non smooth and multivalued operators. Zbl 1458.35185
Diaz, J. I.; Gómez-Castro, D.; Podol’skii, A. V.; Shaposhnikova, T. A. |
|
2016
|
Homogenization of a variational inequality for the \(p\)-Laplacian in perforated media with nonlinear restrictions for the flux on the boundary of isoperimetric perforations: \(p\) equal to the dimension of the space. Zbl 1343.49014
Gomez, D.; Pérez, Maria E.; Lobo, Miguel; Podolsky, A. V.; Shaposhnikova, T. A. |
|
2016
|
On critical parameters in homogenization of perforated domains by thin tubes with nonlinear flux and related spectral problems. Zbl 1332.35025
Gómez, D.; Lobo, M.; Pérez, M. E.; Shaposhnikova, T. A.; Zubova, M. N. |
|
2015
|
Homogenization for the \(p\)-Laplacian in an \(n\)-dimensional domain perforated by very thin cavities with a nonlinear boundary condition on their boundary in the case \(p\) = \(n\). Zbl 1332.35031
Podol’skiy, A. V.; Shaposhnikova, T. A. |
|
2015
|
Homogenization for the \(p\)-Laplace operator in perforated media with nonlinear restrictions on the boundary of the perforations: A critical case. Zbl 1332.35026
Gómez, D.; Pérez, M. E.; Podolskiy, A. V.; Shaposhnikova, T. A. |
|
2015
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Homogenization of a variational inequality for the Laplace operator with nonlinear restriction for the flux on the interior boundary of a perforated domain. Zbl 1295.35048
Jäger, Willi; Neuss-Radu, Maria; Shaposhnikova, Tatiana A. |
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2014
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Homogenization problem in a domain perforated by tiny isoperimetric holes with nonlinear Robin type boundary conditions. Zbl 1307.35031
Pérez, M. E.; Zubova, M. N.; Shaposhnikova, T. A. |
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2014
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Homogenization for the \(p\)-Laplace operator and nonlinear Robin boundary conditions in perforated media along \((n - 1)\)-dimensional manifolds. Zbl 1305.35136
Gómez, D.; Lobo, M.; Pérez, E.; Podolskiy, A. V.; Shaposhnikova, T. A. |
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2014
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Averaging of variational inequalities for the Laplacian with nonlinear restrictions along manifolds. Zbl 1262.35021
Gómez, D.; Lobo, M.; Pérez, M. E.; Shaposhnikova, T. A. |
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2013
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Spectral boundary homogenization problems in perforated domains with Robin boundary conditions and large parameters. Zbl 1292.35184
Gómez, D.; Pérez, M. E.; Shaposhnikova, T. A. |
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2013
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Averaging of boundary-value problems for the Laplace operator in perforated domains with a nonlinear boundary condition of the third type on the boundary of cavities. Zbl 1277.35145
Zubova, M. N.; Shaposhnikova, T. A. |
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2013
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Homogenization problem in domain perforated by thin tubes with nonlinear Robin type boundary condition. Zbl 1284.35338
Gómez, D.; Lobo, M.; Perez, M. E.; Shaposhnikova, T. A.; Zubova, M. N. |
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2013
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Vladimir Alexandrovich Kondratiev. July 2, 1935–March 11, 2010. Zbl 1277.01013
Agranovich, M. S.; Astashova, I. V.; Bagirov, L. A.; Vlasov, V. V.; Zhikov, V. V.; Ilyashenko, Yu. S.; Kozlov, V. V.; Kon’kov, A. A; Pokhozhaev, S. I.; Radkevich, E. V.; Rozov, N. Kh.; Sergeev, I. N.; Skubachevskii, A. L.; Chechkin, G. A.; Shamaev, A. S.; Shaposhnikova, T. A. |
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2013
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On homogenization of nonlinear Robin type boundary conditions for cavities along manifolds and associated spectral problems. Zbl 1263.35023
Gómez, D.; Pérez, E.; Shaposhnikova, T. A. |
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2012
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Homogenization limit for the boundary value problem with the \(p\)-Laplace operator and a nonlinear third boundary condition on the boundary of the holes in a perforated domain. Zbl 1408.35005
Shaposhnikova, T.; Podolskiy, A. |
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2012
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Boundary homogenization of a variational inequality with nonlinear restrictions for the flux on small regions lying on a part of the boundary. Zbl 1269.35003
Pérez, M. E.; Shaposhnikova, T. A. |
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2012
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Homogenization of boundary value problems in perforated domains with the third boundary condition and the resulting change in the character of the nonlinearity in the problem. Zbl 1217.35049
Zubova, M. N.; Shaposhnikova, T. A. |
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2011
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Averaging of boundary-value problem in domain perforated along \((n - 1)\)-dimensional manifold with nonlinear third type boundary conditions on the boundary of cavities. Zbl 1233.35075
Lobo, M.; Perez, M. E.; Sukharev, V. V.; Shaposhnikova, T. A. |
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2011
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Homogenization of the diffusion equation with nonlinear flux condition on the interior boundary of a perforated domain – the influence of the scaling on the nonlinearity in the effective sink-source term. Zbl 1291.35112
Jäger, W.; Neuss-Radu, M.; Shaposhnikova, T. A. |
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2011
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Scale limit of a variational inequality modeling diffusive flux in a domain with small holes and strong adsorption in case of a critical scaling. Zbl 1233.35104
Jäger, W.; Neuss-Radu, M.; Shaposhnikova, T. A. |
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2011
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Homogenization limit for the diffusion equation with nonlinear flux condition on the boundary of very thin holes periodically distributed in a domain, in case of a critical size. Zbl 1213.35061
Jäger, W.; Neuss-Radu, M.; Shaposhnikova, T. A. |
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2010
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On boundary homogenization of variational inequalities. Zbl 1196.35042
Shaposhnikova, T. A.; Zubova, M. N. |
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2009
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Homogenization problem for a parabolic variational inequality with constraints on subsets situated on the boundary of the domain. Zbl 1156.35317
Shaposhnikova, T. A.; Zubova, M. N. |
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2008
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Homogenization of the variational inequality corresponding to a problem with rapidly varying boundary conditions. Zbl 1157.35010
Zubova, M. N.; Shaposhnikova, T. A. |
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2007
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On homogenization of variational inequalities with obstacles on \(\varepsilon\)-periodically situated along \(n-1\) dimension manifold inclusions. Zbl 1127.35312
Zubova, M. N.; Shaposhnikova, T. A. |
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2007
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On homogenization of variational inequalities with obstacles on \(\varepsilon\)-periodically situated inclusions. Zbl 1085.49014
Zubova, M. N.; Shaposhnikova, T. A. |
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2005
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On the homogenization of some boundary-value problems in domains with thin channels. Zbl 1120.35009
Shaposhnikova, T. A. |
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2005
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Homogenizaton of a nonhomogeneous Signorini problem for the Poisson equation in a periodically perforated domain. Zbl 1173.35428
Vorob’ev, A. Yu.; Shaposhnikova, T. A. |
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2003
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On the convergence of solutions of one boundary value problem for the biharmonic equation in a domain dependent on small parameter \(\varepsilon\). Zbl 1045.35021
Gavrilov, I. A.; Shaposhnikova, T. A. |
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2003
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Homogenization of the Neumann problem in a domain a part of which is a set of channels. Zbl 1035.35011
Shaposhnikova, T. A. |
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2001
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Homogenization of the boundary-value problem for the biharmonic equation in a domain containing thin canals of small length. Zbl 1041.35014
Shaposhnikova, T. A. |
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2001
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On the averaging of a boundary value problem for the biharmonic equation in a domain containing thin short channels. Zbl 1090.35503
Shaposhnikova, T. A.; Shaposhnikova, T. L. |
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2001
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On homogenization of a boundary value problem in a domain with thin channels of a small length. Zbl 1005.35016
Oleinik, Olga A.; Shaposhnikova, Tatiana A. |
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2000
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Homogenization of solutions of the Poisson equation in a domain perforated along a hypersurface, with mixed boundary conditions on the boundary of the cavities. Zbl 0921.35015
Jäger, W.; Oleinik, O. A.; Shaposhnikova, T. A. |
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1998
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Homogenization of boundary value problems in perforated domains of nonperiodic structure. Zbl 1003.35044
Oleinik, O. A.; Shaposhnikova, T. A. |
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1998
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On homogenization of solutions of boundary value problems in domains, perforated along manifolds. Zbl 1170.35320
Lobo, M.; Oleinik, O. A.; Perez, M. E.; Shaposhnikova, T. A. |
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1997
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On homogenization of solutions of the Poisson equation in a perforated domain with different types of boundary conditions on different cavities. Zbl 0903.35005
Jäger, W.; Oleinik, O. A.; Shaposhnikova, T. A. |
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1997
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On boundary-value problems in domains perforated along manifolds. Zbl 0918.35019
Lobo, M.; Oleinik, O. A.; Perez, M. E.; Shaposhnikova, T. A. |
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1997
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On homogenization of the mixed boundary value problem for the heat equation in a domain whose part contains channels arranged in a periodic way. Zbl 0971.35012
Olejnik, O. A.; Shaposhnikova, T. A. |
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1997
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On averaging of elliptic problems in perforated domains with non-periodic structure. Zbl 0919.35016
Oleinik, O. A.; Shaposhnikova, T. A. |
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1997
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On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary. Zbl 0878.35011
Oleinik, Olga A.; Shaposhnikova, Tatiana A. |
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1996
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On the Dirichlet problem for the biharmonic equation in a domain, perforated along manifolds of small dimension. Zbl 0894.31003
Oleinik, O. A.; Shaposhnikova, T. A. |
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1996
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The asymptotic expansion of the solution to the Cauchy problem for a parabolic equation in a perforated space. Zbl 0917.35009
Shaposhnikova, T. A. |
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1996
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Averaging of the biharmonic equation in a domain perforated along low-dimensional manifolds. Zbl 0882.31001
Oleinik, O. A.; Shaposhnikova, T. A. |
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1996
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On homogenization problems for the Laplace operator in partially perforated domains with Neumann’s condition on the boundary of cavities. Zbl 0848.35009
Oleinik, Olga A.; Shaposhnikova, Tatiana |
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1995
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On the averaging for a partially perforated domain with a mixed boundary condition with a small parameter on the cavity boundary. Zbl 0866.35014
Oleinik, O. A.; Shaposhnikova, T. A. |
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1995
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On the convergence of solutions of parabolic equations with rapidly oscillating coefficients in perforated domains. Zbl 0844.35008
Shaposhnikova, T. A. |
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1994
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