ON SUPERLINEAR p(x)-LAPLACIAN-LIKE PROBLEM WITHOUT AMBROSETTI AND RABINOWITZ CONDITION

DOI10.4134/BKMS.2014.51.2.409zbMath1302.35179MaRDI QIDQ5414896

Ge Bin

Publication date: 8 May 2014

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://mathnet.or.kr/mathnet/kms_content.php?no=412041

zbMATH Keywords

variational method\(p(x)\)-Laplacianvariable exponent Sobolev spacesuperlinear problem

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Weak solutions to PDEs (35D30)

Related Items (11)

Variational approaches to \(P(X)\)-Laplacian-like problems with Neumann condition originated from a capillary phenomena ⋮ Existence and multiplicity of solutions for a class of elliptic equations without Ambrosetti-Rabinowitz type conditions ⋮ Infinite solutions having a prescribed number of nodes for a Schrödinger problem ⋮ The existence and multiplicity of solutions for \(p(x)\)-Laplacian-like Neumann problems ⋮ Infinitely many solutions for \(p(x)\)-Laplacian-like Neumann problems with indefinite weight ⋮ Multiple positive solutions for nonlinear eigenvalue problems involving \(p(x)\)-Laplacian-like operators ⋮ Existence result for Neumann problems with \(p(x)\)-Laplacian-like operators in generalized Sobolev spaces ⋮ Existence and multiplicity of solutions for Kirchhoff-Schrödinger type equations involving \(p(x)\)-Laplacian on the entire space \(\mathbb{R}^N\) ⋮ The existence of infinitely many solutions for nonlinear elliptic equations involving p-Laplace type operators in R^N ⋮ Unnamed Item ⋮ Infinitely many small solutions to an elliptic PDE of variable exponent with a singular nonlinearity

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