Infinitely many solutions for a class of degenerate anisotropic elliptic problems with variable exponent

DOI10.11650/TWJM/1500406435zbMath1237.35039OpenAlexW4237703915MaRDI QIDQ653420

Maria-Magdalena Boureanu

Publication date: 19 December 2011

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500406435

zbMATH Keywords

Sobolev spacescritical point theoryquasilinear elliptic equationssymmetric mountain-pass theoremmultiple weak solutionsanisotropic variable exponent

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) 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) Quasilinear elliptic equations (35J62)

Related Items (16)

Infinitely many solutions for anisotropic elliptic equations with variable exponent ⋮ Nonlinear elliptic problems involving the anisotropic \((p(\vec{x}),q(\vec{x}))\) system ⋮ Qualitative Properties of Anisotropic Elliptic Schrödinger Equations ⋮ Multiplicity of solutions for Robin problem involving the \(p(x)\)-Laplacian ⋮ Unnamed Item ⋮ Multiple solutions for two general classes of anisotropic systems with variable exponents ⋮ Existence of solutions of anisotropic problems with variable exponents with Robin boundary conditions ⋮ On Some Variable Exponent Problems with No-Flux Boundary Condition ⋮ Existence and multiplicity of solutions for anisotropic elliptic equation ⋮ Infinitely many solutions for elliptic problems with variable exponent and nonlinear boundary conditions ⋮ Anisotropic Neumann problems in Sobolev spaces with variable exponent ⋮ Multiplicity of solutions for a class of Neumann elliptic systems in anisotropic Sobolev spaces with variable exponent ⋮ 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 ⋮ Existence of two positive solutions for anisotropic nonlinear elliptic equations ⋮ No-flux boundary value problems with anisotropic variable exponents

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