Existence and some properties of solutions for degenerate elliptic equations with exponent variable

DOI10.1016/J.NA.2013.12.003zbMath1286.35117OpenAlexW2090331836MaRDI QIDQ2438296

Inbo Sim, Ky Ho

Publication date: 11 March 2014

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.2013.12.003

zbMATH Keywords

a priori bound\(p(x)\)-Laplacianweighted variable exponentLebesgue-Sobolev spacesde Giorgi iteration

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Variational methods for second-order elliptic equations (35J20)

Related Items (14)

Existence results for degenerate \(p(x)\)-Laplace equations with Leray-Lions type operators ⋮ Existence and multiplicity of positive solutions to quasilinear elliptic equations with two parameters ⋮ Existence and multiplicity of solutions to concave-convex-type double-phase problems with variable exponent ⋮ A-priori bounds and existence for solutions of weighted elliptic equations with a convection term ⋮ Corrigendum to: ``Existence and some properties of solutions for degenerate elliptic equations with exponent variable ⋮ Infinitely many solutions for a generalized p(·)‐Laplace equation involving Leray–Lions type operators ⋮ On degenerate \(p(x)\)-Laplace equations involving critical growth with two parameters ⋮ A-priori bound and Hölder continuity of solutions to degenerate elliptic equations with variable exponents ⋮ Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and \(L^1\)-data ⋮ On a class of \(p(x)\)-Laplacian equations without any growth and Ambrosetti-Rabinowitz conditions ⋮ A degenerate elliptic system with variable exponents ⋮ The boundedness and Hölder continuity of weak solutions to elliptic equations involving variable exponents and critical growth ⋮ Unnamed Item ⋮ A-priori bounds and multiplicity of solutions for nonlinear elliptic problems involving the fractional \(p(\cdot)\)-Laplacian

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