Existence and multiplicity of solutions for an anisotropic elliptic problem involving variable exponent growth conditions

DOI10.1080/00036810802713826zbMath1187.35074OpenAlexW2073366282MaRDI QIDQ5190146

Mihai Mihăilescu, Gheorghe Morosanu

Publication date: 12 March 2010

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810802713826

zbMATH Keywords

mountain pass theoremEkeland's variational principleanisotropic Sobolev spacesnon-homogeneous differential operator

Mathematics Subject Classification ID

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) Variational methods for second-order elliptic equations (35J20)

Related Items (20)

Infinitely many solutions for anisotropic elliptic equations with variable exponent ⋮ Nonlinear elliptic problems involving the anisotropic \((p(\vec{x}),q(\vec{x}))\) system ⋮ Local boundedness of quasi-minimizers of integral functionals with variable exponent anisotropic growth and applications ⋮ Existence and multiplicity of solutions for Kirchhoff type problems involving \(p(x)\)-biharmonic operators ⋮ Multiplicity of solutions on a nonlinear eigenvalue problem for \(p(x)\)-Laplacian-like operators ⋮ Existence and multiplicity of solutions for anisotropic elliptic equation ⋮ Anisotropic Neumann problems in Sobolev spaces with variable exponent ⋮ Qualitative Analysis of Solutions for a Class of Anisotropic Elliptic Equations with Variable Exponent ⋮ Multiplicity of solutions for a class of Neumann elliptic systems in anisotropic Sobolev spaces with variable exponent ⋮ A multiplicity result for an elliptic anisotropic differential inclusion involving variable exponents ⋮ Existence of solutions for an anisotropic elliptic problem with variable exponent and singularity ⋮ On nonlocal \(\vec p (x)\)-Laplacian equations ⋮ ON AN EIGENVALUE PROBLEM FOR AN ANISOTROPIC ELLIPTIC EQUATION INVOLVING VARIABLE EXPONENTS ⋮ Three weak solutions for a Neumann elliptic equations involving the \(\vec{p}(x)\)-Laplacian operator ⋮ On a class of anisotropic elliptic equations without Ambrosetti-Rabinowitz type conditions ⋮ Entropy solutions for nonlinear anisotropic elliptic equations with variable exponents and degenerate coercivity ⋮ Anisotropic variable exponent Sobolev spaces and -Laplacian equations ⋮ Multiplicity of solutions for a class of anisotropic elliptic equations with variable exponent ⋮ Existence of two positive solutions for anisotropic nonlinear elliptic equations ⋮ No-flux boundary value problems with anisotropic variable exponents

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