Eigenvalue problems for anisotropic elliptic equations: an Orlicz-Sobolev space setting

DOI10.1016/j.na.2010.07.004zbMath1200.35197OpenAlexW2004966853MaRDI QIDQ708658

Mihai Mihăilescu, Vicenţiu D. Rădulescu, Gheorghe Morosanu

Publication date: 14 October 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.07.004

zbMATH Keywords

eigenvaluecritical pointanisotropic Orlicz-Sobolev space

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Weak solutions to PDEs (35D30)

Related Items (8)

Critical quasilinear elliptic problems using concave-convex nonlinearities ⋮ Qualitative properties of eigenvectors related to multivalued operators and some existence results ⋮ Nonlinear elliptic equations with a lower-order term depending on the gradient in Orlicz spaces ⋮ Existence and localization of weak solutions of nonlinear parabolic equations with variable exponent of nonlinearity ⋮ An eigenvalue problem involving an anisotropic differential operator ⋮ Unnamed Item ⋮ A multiplicity result for an elliptic anisotropic differential inclusion involving variable exponents ⋮ Eigenvalue problems in anisotropic Orlicz-Sobolev spaces

Cites Work

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• Orlicz spaces and modular spaces
• On the isometries of certain function-spaces
• Existence and multiplicity of solutions for quasilinear nonhomogeneous problems: an Orlicz-Sobolev space setting
• Neumann problems associated to nonhomogeneous differential operators in Orlicz-Sobolev spaces
• Remarks on eigenvalue problems involving the \(p(x)\)-Laplacian
• On principal eigenvalues for quasilinear elliptic differential operators: an Orlicz-Sobolev space setting
• Mountain pass type solutions for quasilinear elliptic equations
• Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
• On the variational principle
• Existence and nonexistence results for anisotropic quasilinear elliptic equations
• Dual variational methods in critical point theory and applications
• Nonhomogeneous boundary value problems in anisotropic Sobolev spaces
• Eigenvalue problems for anisotropic quasilinear elliptic equations with variable exponent
• Continuous spectrum for a class of nonhomogeneous differential operators
• Teoremi di inclusione per spazi di Sobolev non isotropi
• Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators
• Existence of solutions to a semilinear elliptic system trough Orlicz-Sobolev spaces
• A continuous spectrum for nonhomogeneous differential operators in Orlicz-Sobolev spaces
• Eigenvalue problems for anisotropic discrete boundary value problems
• Density of smooth functions in W ^{k, p(x)} ( Ω )
• OnL^p(x)norms
• Sobolev embeddings with variable exponent
• ON AN EIGENVALUE PROBLEM FOR AN ANISOTROPIC ELLIPTIC EQUATION INVOLVING VARIABLE EXPONENTS
• On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent
• Spectrum in an unbounded interval for a class of nonhomogeneous differential operators
• Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients
• ON IMBEDDING, CONTINUATION AND APPROXIMATION THEOREMS FOR DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES
• A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids

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