On supercritical elliptic problems: existence, multiplicity of positive and symmetry breaking solutions. (English) Zbl 1541.35248
Reviewer: Michael Perelmuter (Kyïv)
Found 115 Documents (Results 1–100)
Compactness in Lipschitz spaces and around. (English) Zbl 1534.46015
Reviewer: José Mendoza (Madrid)
Nonexistence results for elliptic problems with supercritical growth in thin planar domains. (English) Zbl 1522.35257
Variational problems concerning sub-Finsler metrics in Carnot groups. (English) Zbl 1521.53022
Reviewer: Nathaniel Eldredge (Greeley)
A supercritical elliptic equation in the annulus. (English) Zbl 1512.35163
Reviewer: Andreas Kleefeld (Jülich)
Hamiltonian systems on almost cosymplectic manifolds. (English) Zbl 1512.37075
Reviewer: Francesco Cattafi (Würzburg)
A property of absolute minimizers in \(L^\infty\) calculus of variations and of solutions of the Aronsson-Euler equation. (English) Zbl 1500.49010
Asymptotic behavior of the solutions of a transmission problem for the Helmholtz equation: a functional analytic approach. (English) Zbl 1529.35150
Supercritical elliptic problems on nonradial domains via a nonsmooth variational approach. (English) Zbl 1506.35095
Reviewer: Simone Secchi (Milano)
Supercritical problems via a fixed point argument on the cone of monotonic functions. (English) Zbl 1503.35077
Reviewer: Giovanni Anello (Messina)
Nonexistence of solutions for Dirichlet problems with supercritical growth in tubular domains. (English) Zbl 1487.35203
Elastic-brittle reinforcement of flexural structures. (English) Zbl 1486.49013
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 32, No. 4, 691-724 (2021).
Reviewer: Alain Brillard (Riedisheim)
Weak solutions for unidirectional gradient flows: existence, uniqueness, and convergence of time discretization schemes. (English) Zbl 1476.35127
Uniqueness of solutions for nonlinear Dirichlet problems with supercritical growth. (English) Zbl 1479.35429
Multiple eigenvalues for the Steklov problem in a domain with a small hole. A functional analytic approach. (English) Zbl 1473.35373
Irreversibility and alternate minimization in phase field fracture: a viscosity approach. (English) Zbl 1447.35312
Reviewer: Kaïs Ammari (Monastir)
An inequality for Hölder continuous functions generalizing a result of Carlo Miranda. (English) Zbl 1467.26009
Constanda, Christian (ed.), Computational and analytic methods in science and engineering. Selected papers based on the presentations at the 19th international conference on computational and mathematical methods in science and engineering, CMMSE’19, Rota, Spain, June 30 – July 6, 2019. Cham: Birkhäuser. 197-221 (2020).
Reviewer: Davide Buoso (Alessandria)
Existence and uniqueness results in weighted spaces for Dirichlet problem in unbounded domains. (English) Zbl 1440.35078
Nonexistence of solutions for elliptic equations with supercritical nonlinearity in nearly nontrivial domains. (English) Zbl 1437.35311
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 31, No. 1, 121-130 (2020).
Higher integrability of minimizers of degenerate functionals in Carnot-Carathéodory spaces. (English) Zbl 1439.49069
Reviewer: Valerii V. Obukhovskij (Voronezh)
MSC:
49N60
Local uniqueness of the solutions for a singularly perturbed nonlinear nonautonomous transmission problem. (English) Zbl 1437.35240
Reviewer: Zhipeng Yang (Göttingen)
Asymptotic behaviour of the energy integral of a two-parameter homogenization problem with nonlinear periodic Robin boundary conditions. (English) Zbl 1439.35154
Reviewer: Davide Buoso (Alessandria)
Porous medium equation with a blow-up nonlinearity and a non-decreasing constraint. (English) Zbl 1461.35165
A unilateral \(L^2\)-gradient flow and its quasi-static limit in phase-field fracture by an alternate minimizing movement. (English) Zbl 1491.74089
Relaxation of functionals in the space of vector-valued functions of bounded Hessian. (English) Zbl 1404.49007
Unidirectional evolution equations of diffusion type. (English) Zbl 1403.35141
Reviewer: Igor Bock (Bratislava)
Inertial properties in groups. (English) Zbl 1442.20023
A variational approach to doubly nonlinear equations. (English) Zbl 1407.35123
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 29, No. 4, 739-772 (2018).
Two-parameter anisotropic homogenization for a Dirichlet problem for the Poisson equation in an unbounded periodically perforated domain. A functional analytic approach. (English) Zbl 1404.35119
Reviewer: Dagmar Medková (Praha)
Analytic dependence of a periodic analog of a fundamental solution upon the periodicity parameters. (English) Zbl 06921493
A pocket guide to nonlinear differential equations in Musielak-Orlicz spaces. (English) Zbl 1395.35070
Effective conductivity of a periodic dilute composite with perfect contact and its series expansion. (English) Zbl 1395.35086
Asymptotic behavior of the solution of singularly perturbed transmission problems in a periodic domain. (English) Zbl 1411.35102
Reviewer: Massimo Lanza de Cristoforis (Padova)
Two-parameter homogenization for a nonlinear periodic Robin problem for the Poisson equation: a functional analytic approach. (English) Zbl 1393.35031
Reviewer: Giovanni Anello (Messina)
Some aspects of dimension theory for topological groups. (English) Zbl 1385.54011
Reviewer: Kohzo Yamada (Shizuoka)
A priori estimates for solutions to anisotropic elliptic problems via symmetrization. (English) Zbl 1375.35136
Reviewer: James Bernard Kennedy (Lisboa)
\(L^\infty\)-variational problems associated to measurable Finsler structures. (English) Zbl 1329.49004
Existence and regularity results for doubly nonlinear inclusions with nonmonotone perturbation. (English) Zbl 1320.34092
Reviewer: Francesca Papalini (Ancona)
MSC:
34G25
A quasi-linear heat transmission problem in a periodic two-phase dilute composite. A functional analytic approach. (English) Zbl 1304.35686
Simple eigenvalues for the Steklov problem in a domain with a small hole. A functional analytic approach. (English) Zbl 1301.35065
Multiplicity of positive and nodal solutions for scalar field equations. (English) Zbl 1300.35037
Reviewer: Marius Ghergu (Dublin)
MSC:
35J60
Solvability of the Dirichlet problem in \(W^{2,p}\) for a class of elliptic equations with singular data. (English) Zbl 1296.35048
Reviewer: Dagmar Medková (Praha)
Elliptic equations with jumping nonlinearities involving high eigenvalues. (English) Zbl 1327.35088
Reviewer: Massimo Lanza de Cristoforis (Padova)
A singularly perturbed nonlinear traction problem in a periodically perforated domain: a functional analytic approach. (English) Zbl 1284.35424
A family of fundamental solutions of elliptic partial differential operators with quaternion constant coefficients. (English) Zbl 1277.35011
A real analyticity result for a nonlinear integral operator. (English) Zbl 1278.47057
Reviewer: Hui-Sheng Ding (Jiangxi)
A singularly perturbed Dirichlet problem for the Poisson equation in a periodically perforated domain. A functional analytic approach. (English) Zbl 1266.35039
Almeida, Alexandre (ed.) et al., Advances in harmonic analysis and operator theory. The Stefan Samko anniversary volume on the occasion of his 70th birthday. Mainly based on the presentations at two conferences, Lisbon and Aveiro, Portugal, in June – July, 2011. Basel: Birkhäuser (ISBN 978-3-0348-0515-5/hbk; 978-3-0348-0516-2/ebook). Operator Theory: Advances and Applications 229, 269-289 (2013).
Simple Neumann eigenvalues for the Laplace operator in a domain with a small hole. (English) Zbl 1302.35272
Positive constrained minimizers for supercritical problems in the ball. (English) Zbl 1261.35052
Reviewer: Riikka Korte (Helsinki)
On the quasi-component of pseudocompact abelian groups. (English) Zbl 1238.22002
Reviewer: Miroslav Repický (Košice)
A singularly perturbed Dirichlet problem for the Laplace operator in a periodically perforated domain. A functional analytic approach. (English) Zbl 1232.35179
Regularity and Rothe method error estimates for parabolic hemivariational inequality. (English) Zbl 1231.49010
\(W^{2,2}\) a priori bounds for a class of elliptic operators. (English) Zbl 1250.47045
Reviewer: Aleksander Pankov (Baltimore)
On zero-dimensionality and the connected component of locally pseudocompact groups. (English) Zbl 1227.22004
Reviewer: W. Wistar Comfort (Middletown)
A candidate local minimizer of Blake and Zisserman functional. (English) Zbl 1218.49029
J. Math. Pures Appl. (9) 96, No. 1, 58-87 (2011); corrigendum ibid. (9) 104, No. 5, 1005-1011 (2015).
Existence of positive solutions for a class of semilinear and quasilinear elliptic equations with supercritical case. (English) Zbl 1220.35059
Regularity results for minimizers of integral functionals with nonstandard growth in Carnot-Carathéodory spaces. (English) Zbl 1189.49058
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 21, No. 2, 175-192 (2010).
Plastic hinges in a beam. (English) Zbl 1185.74033
Buttazzo, Giuseppe (ed.) et al., Variational analysis and aerospace engineering. Proceedings of the Erice workshop, Erice, Italy, September 8–16, 2007. New York, NY: Springer (ISBN 978-0-387-95856-9/hbk; 978-0-387-95857-6/ebook). Springer Optimization and Its Applications 33, 343-348 (2009).
Nonlinear diffusion equations with variable coefficients as gradient flows in Wasserstein spaces. (English) Zbl 1178.35201
Reviewer: Vyacheslav I. Maksimov (Ekaterinburg)
Solvability of the Dirichlet problem for elliptic equations in weighted Sobolev spaces on unbounded domains. (English) Zbl 1158.35346
Brezis-Nirenberg type theorems and multiplicity of positive solutions for a singular elliptic problem. (English) Zbl 1158.35044
Reviewer: Jiaqi Mo (Wuhu)
Persistence of eigenvalues and multiplicity in the Dirichlet problem for the Laplace operator on nonsmooth domains. (English) Zbl 1105.35063
Reviewer: Dumitru Motreanu (Perpignan)
Monge solutions for discontinuous Hamiltonians. (English) Zbl 1087.35023
Reviewer: Vasile Iftode (Bucureşti)
Real analytic dependence of simple and double layer potentials upon perturbation of the support and of the density. (English) Zbl 1094.31001
Reviewer: Niels Jacob (Swansea)
Exact multiplicity results for variational inequalities involving pointwise constraints on the derivatives. (English) Zbl 1046.35022
Reviewer: Gary M. Lieberman (Ames)
A note on Meyers’ theorem in \(W^{k,1}\). (English) Zbl 1006.49006
Reviewer: M.Fuchs (Saarbrücken)
Elliptic equations with discontinuous coefficients in weighted Sobolev spaces on unbounded domains. (English) Zbl 0965.35033
Reviewer: Ruxandra Stavre (Bucureşti)
A non-differentiablity result for the inversion operator between Sobolev spaces. (English) Zbl 0973.47045
Reviewer: Peter Zabreiko (Minsk)
On the analyticity of the Cauchy integral in Schauder spaces. (English) Zbl 0987.47022
Reviewer: D.Przeworska-Rolewicz (Warszawa)
Minimizing movements and evolution problems in Euclidean spaces. (English) Zbl 0973.49008
Reviewer: L.Ambrosio (Pisa)
Homogenization of a linear transport equation with time depending coefficient. (English) Zbl 0936.45004
Reviewer: V.Lakshmikantham (Melbourne /Florida)
Nontrivial solutions of elliptic equations with supercritical exponent in contractible domains. (English) Zbl 0943.35034
Reviewer: Bronius Kvedaras (Vilnius)
Global solution of the isothermal viscous gas equation in an exterior domain subject to a large potential force. (Solution globale de l’équation d’un gaz visqueux isotherme dans un domaine extérieur assujetti à une grande force dérivant d’un potentiel.) (French) Zbl 0934.35126
Reviewer: Valeriu Al.Sava (Iaşi)
Superposition and chain rule for bounded Hessian functions. (English) Zbl 0919.49001
Reviewer: Z.Denkowski (Kraków)
Homogenization of linear and nonlinear ordinary differential equations with time depending coefficients. (English) Zbl 0907.34045
The Dirichlet problem for second order elliptic equations with singular data. (English) Zbl 0910.35041
Existence theorems for discontinuous solutions in optimization problems. (English) Zbl 0890.49005
Reviewer: L. Ambrosio (Pavia)
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