Found 213 Documents (Results 1–100)
Sobolev metrics on spaces of manifold valued curves. (English) Zbl 07851376
Reviewer: Armin Rainer (Wien)
Morse’s theory and local linking for a fractional \((p_1 (\mathrm{x}.,), p_2 (\mathrm{x}.,))\): Laplacian problems on compact manifolds. (English) Zbl 1523.35278
The Majda-Biello system on the half-line. (English) Zbl 1523.35246
Reviewer: Igor Leite Freire (São Carlos)
The Korteweg-de Vries equation on the half-line with Robin and Neumann data in low regularity spaces. (English) Zbl 1492.35265
Smooth perturbations of the functional calculus and applications to Riemannian geometry on spaces of metrics. (English) Zbl 1482.58005
Reviewer: Nicolai K. Smolentsev (Kemerovo)
Persistence property and infinite propagation speed for the \(b\)-family of Fokas-Olver-Rosenau-Qiao (\(b\)FORQ) model. (English) Zbl 1479.35242
Orlicz-Sobolev inequalities and the Dirichlet problem for infinitely degenerate elliptic operators. (English) Zbl 1496.35020
Infinite order \(\Psi\mathrm{DOs}\): composition with entire functions, new Shubin-Sobolev spaces, and index theorem. (English) Zbl 1472.35469
Well-posedness for the fourth-order Schrödinger equation with third order derivative nonlinearities. (English) Zbl 1481.35356
Groundstates and infinitely many high energy solutions to a class of nonlinear Schrödinger-Poisson systems. (English) Zbl 1479.35782
The time fractional Schrödinger equation with a nonlinearity of Hartree type. (English) Zbl 1471.35306
Eigenvalue problem associated with nonhomogeneous integro-differential operators. (English) Zbl 1470.35248
WKB analysis for the three coupled long wave-short wave interaction equations. (English) Zbl 1456.81191
Existence of solutions for a nonlocal type problem in fractional Orlicz Sobolev spaces. (English) Zbl 1445.35296
Fractional Sobolev metrics on spaces of immersions. (English) Zbl 1441.58010
Reviewer: Nicolai K. Smolentsev (Kemerovo)
Infinitely many weak solutions for a non-homogeneous Neumann problem in Orlicz-Sobolev spaces. (English) Zbl 1463.35165
Gradient estimates for perturbed Ornstein-Uhlenbeck semigroups on infinite-dimensional convex domains. (English) Zbl 1456.28008
Localization method for the solutions of nonhomogeneous operator equations. (English) Zbl 1427.58003
On Fredholm solvability of the Dirichet problem for linear differential equations of infinite order. (English. Russian original) Zbl 1398.35302
Russ. Math. 62, No. 4, 13-17 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 4, 16-20 (2018).
MSC:
35R50
On a class of \((p,q)\)-Laplacian problems involving the critical Sobolev-Hardy exponents in starshaped domain. (English) Zbl 1391.35170
The cubic Szegő equation and Hankel operators. (English) Zbl 1410.37001
Astérisque 389. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-854-1/pbk). vi, 113 p. (2017).
Perturbation effects for a singular elliptic problem with lack of compactness and critical exponent. (English) Zbl 1376.35067
Reviewer: Lubomira Softova (Salerno)
Large number of bubble solutions for the equation \(\Delta u + K(y)u^{\frac{N + 2}{N - 2}\pm \varepsilon}=0\) on \(\mathbb{R}^N\). (English) Zbl 1346.35072
Reviewer: Christian Stinner (Darmstadt)
Ground states for a nonlinear elliptic equation involving multiple Hardy-Sobolev critical exponents. (English) Zbl 1339.35106
Variational methods for evolving objects. Papers based on the conference, Hokkaido University, Sapporo, Japan, July 30 – August 3, 2012. (English) Zbl 1351.49001
Advanced Studies in Pure Mathematics 67. Tokyo: Mathematical Society of Japan (MSJ) (ISBN 978-4-86497-028-0/hbk). 294 p. (2015).
Periodic solutions of second-order systems with subquadratic convex potential. (English) Zbl 1349.34135
Nonlocal elliptic boundary value problems in an infinite cylinder. (English. Russian original) Zbl 1323.35033
Dokl. Math. 91, No. 2, 147-149 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 461, No. 1, 23-26 (2015).
Multiple positive solutions for semi-linear elliptic systems involving sign-changing weight. (English) Zbl 1319.35034
Existence of solutions to hemivariational inequalities involving the \(p(x)\)-biharmonic operator. (English) Zbl 1312.49006
Index theory for linear elliptic equation and multiple solutions for asymptotically linear elliptic equation with resonance. (English) Zbl 1362.58006
Multiple positive solutions for semi-linear elliptic systems with sign-changing weight. (English) Zbl 1310.35100
Geodesic completeness for Sobolev metrics on the space of immersed plane curves. (English) Zbl 1315.58009
Reviewer: Vagn Lundsgaard Hansen (Lyngby)
On continuity equations in infinite dimensions with non-Gaussian reference measure. (English) Zbl 1317.60083
Reviewer: Yuliya S. Mishura (Kyïv)
Sobolev regularity for the Monge-Ampère equation in the Wiener space. (English) Zbl 1286.28011
Reviewer: Kun Soo Chang (Seoul)
Fractional order Sobolev classes on infinite-dimensional spaces. (English. Russian original) Zbl 1291.46033
Dokl. Math. 88, No. 2, 518-523 (2013); translation from Dokl. Akad. Nauk. 452, No. 2, 130-135 (2013).
Unique solvability of the Dirichlet problem for the equation \(\Delta _{p} u=0\) in the exterior of a paraboloid. (English. Russian original) Zbl 1279.35029
St. Petersbg. Math. J. 24, No. 3, 493-512 (2013); translation from Algebra Anal. 24, No. 3, 172-198 (2012).
Reviewer: Lubomira Softova (Aversa)
\(L ^{2}\)-theory for non-symmetric Ornstein-Uhlenbeck semigroups on domains. (English) Zbl 1302.60094
Existence and multiplicity of solutions for critical elliptic equations with multi-polar potentials in symmetric domains. (English) Zbl 1250.35083
Reviewer: Vicenţiu D. Rădulescu (Craiova)
Infinitely many solutions for a class of degenerate anisotropic elliptic problems with variable exponent. (English) Zbl 1237.35039
Reviewer: Junichi Aramaki (Saitama)
Multiple solutions for elliptic problems involving the \(p(x)\)-Laplacian. (English) Zbl 1234.35119
Reviewer: Marcelo Furtado (Brasília)
Approximation and regularity of stochastic PDEs. (English) Zbl 1260.60003
Berichte aus der Mathematik. Aachen: Shaker Verlag; Dresden: Univ. Dresden, Fakultät Mathematik und Naturwissenschaften (Diss.) (ISBN 978-3-8440-0172-3/pbk). ii, 141 p. (2011).
Global compactness results for quasilinear elliptic problems with combined critical Sobolev-Hardy terms. (English) Zbl 1205.35109
Nonlinear elliptic equations of infinite order. (English) Zbl 1218.35256
Ammari, Habib (ed.) et al., Recent developments in nonlinear analysis. Proceedings of the conference in mathematics and mathematical physics, Fez, Morocco, October 28–30, 2008. Hackensack, NJ: World Scientific (ISBN 978-981-4295-56-7/hbk; 978-981-4295-57-4/ebook). 17-29 (2010).
Periodic solutions for second-order Hamiltonian systems with a \(p\)-Laplacian. (English) Zbl 1219.34057
Reviewer: Fengqin Zhang (Yuncheng)
Asymptotic behavior and existence results for a biharmonic equation involving the critical Sobolev exponent in a five-dimensional domain. (English) Zbl 1205.35131
Cocompactness and minimizers for inequalities of Hardy-Sobolev type involving \(N\)-Laplacian. (English) Zbl 1200.35139
Multiple solutions for a singular semilinear elliptic problems with critical exponent and symmetries. (English) Zbl 1198.35113
A comparison result for elliptic equations in the infinite dimensional Gauss space. (English) Zbl 1197.35299
Removability of singularity for an anisotropic elliptic equation of second order with nonstandard growth. (English) Zbl 1197.35104
The Nehari manifold approach for Dirichlet problem involving the \(p(x)\)-Laplacian equation. (English) Zbl 1196.35108
A multiplicity of solutions for a nonlinear degenerate problem involving a \(p(x)\)-Laplace-type operator. (English) Zbl 1189.35121
Boundedness of solutions for anisotropic degenerate elliptic equations with nonstandard growth. (English) Zbl 1185.35108
Cocompactness properties of Moser-Trudinger functional in connection to semilinear biharmonic equations in four dimensions. (English) Zbl 1194.35121
Sensitivity analysis of the energy functional defined on Sobolev space. (English) Zbl 1179.65018
Kovács, Emőd (ed.) et al., Proceedings of the 7th international conference on applied informatics (ICAI 2007), January 28–31, 2007, Eger, Hungary. Vol. II. Eger: Eszterházy Károly College. 109-116 (2009).
Multiplicity of solutions for a noncooperative elliptic system with critical Sobolev exponent. (English) Zbl 1181.35050
Reviewer: Andreas Gastel (Erlangen)
Global compactness results for singular quasilinear elliptic problems with critical Sobolev exponents and applications. (English) Zbl 1167.35337
Multiple solutions for the Brezis-Nirenberg problem with a Hardy potential and singular coefficients. (English) Zbl 1155.35349
Carleman estimates and unique continuation property for the anisotropic differential-operator equations. (English) Zbl 1156.35480
On some nonlinear Neumann problem with weight and critical Sobolev trace maps. (English) Zbl 1135.35047
Existence results for strongly nonlinear elliptic equations of infinite order. (English) Zbl 1138.35093
Reviewer: José Bonet (Valencia)
Multiplicity of solutions for a fourth order elliptic equation with critical exponent on compact manifolds. (English) Zbl 1152.35350
Computing with \(hp\)-adaptive finite elements. Vol. 1: One- and two-dimensional elliptic and Maxwell problems. With CD-ROM. (English) Zbl 1111.65103
Chapman & Hall/CRC Applied Mathematics and Nonlinear Science Series. Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-671-4/hbk; 978-1-4200-1168-5/ebook). xxv, 398 p. (2007).
Reviewer: Georg Hebermehl (Berlin)
Nontrivial solutions for a singular critical elliptic equation. (Chinese. English summary) Zbl 1141.35375
Positive solutions of quasilinear elliptic equations with critical Orlicz-Sobolev nonlinearity on \(\mathbb R^N\). (English) Zbl 1387.35405
Bifurcation of positive solutions for a semilinear equation with critical Sobolev exponent. (English) Zbl 1128.35346
Concentration phenomena in a biharmonic equation involving the critical Sobolev exponent. (English) Zbl 1184.35130
Reviewer: Shigeru Sakaguchi (Hiroshima)
Existence of solutions for a class of problems in \(\mathbb R^N\) involving the \(p(x)\)-Laplacian. (English) Zbl 1193.35082
Cazenave, Thierry (ed.) et al., Contributions to nonlinear analysis. A tribute to D. G. de Figueiredo on the occasion of his 70th birthday. Basel: Birkhäuser (ISBN 3-7643-7149-8/hbk). Progress in Nonlinear Differential Equations and their Applications 66, 17-32 (2006).
Singular elliptic problems with lack of compactness. (English) Zbl 1115.35048
Reviewer: Dian K. Palagachev (Bari)
On existence and multiplicity of solutions of Neumann boundary value problems for quasi-linear elliptic equations. (English) Zbl 1109.35047
Multiple positive solutions of nonhomogeneous elliptic systems involving critical Sobolev exponents. (English) Zbl 1208.35046
Reviewer: Georg Hetzer (Auburn)
Elliptic equations with multi-singular inverse-square potentials and critical nonlinearity. (English) Zbl 1206.35104
Existence of positive solutions for a semilinear elliptic problem with critical Sobolev and Hardy terms. (English) Zbl 1134.35054
Improved estimates for the Ginzburg-Landau equation: the elliptic case. (English) Zbl 1121.35052
Reviewer: Giuseppe Di Fazio (Catania)
On existence of integral curves of continuous right-invariant vector fields on groups of diffeomorphisms. (English) Zbl 1108.58007
Reviewer: Hiroaki Shimomura (Kochi)
Multiple solutions of a class of Neumann problem for semilinear elliptic equations. (English) Zbl 1112.35071
Solution of a class of nonhomogeneous elliptic system involving critical Sobolev exponent. (English) Zbl 1121.35311
Reviewer: Messoud A. Efendiev (Berlin)
Some existence results for a paneitz type problem via the theory of critical points at infinity. (English) Zbl 1210.35102
Reviewer: Messoud A. Efendiev (Berlin)
High-energy positive solutions for a critical growth Dirichlet problem in noncontractible domains. (English) Zbl 1274.35105
Nonlocal boundary value problems for partial differential systems in Sobolev spaces of infinite order. (Ukrainian) Zbl 1094.35149
Reviewer: V. V. Vlasov (Moskva)
On nonlinear perturbations of a periodic elliptic problem in \(\mathbb R^2\) involving critical growth. (English) Zbl 1134.35329
Correct solvability of hyperbolic-type equations with delay in a Hilbert space. (English. Russian original) Zbl 1079.35098
Function spaces, approximations, and differential equations. Collected papers dedicated to Oleg Vladimirovich Besov on his 70th birthday. Transl. from the Russian. Moscow: Maik Nauka/Interperiodika. Proceedings of the Steklov Institute of Mathematics 243, 120-130 (2003); translation from Tr. Mat. Inst. Steklova 243, 127-137 (2003).
Existence of solutions for a nonlinear PDE with an inverse square potential. (English) Zbl 1039.35035
Reviewer: Messoud A. Efendiev (Berlin)
On the second best constant in logarithmic Sobolev inequalities on complete Riemannian manifolds. (English) Zbl 1036.58015
Reviewer: Emmanuel Hebey (Paris)
Best constants for Moser-Trudinger inequalities, fundamental solutions and one-parameter representation formulas on groups of Heisenberg type. (English) Zbl 1011.22004
Reviewer: Dumitru Motreanu (Perpignan)
The AB program in geometric analysis: Sharp Sobolev inequalities and related problems. (English) Zbl 1023.58009
Mem. Am. Math. Soc. 761, 98 p. (2002).
Reviewer: G.Olenev (Tartu)
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