Multiplicity of solutions for a nonlinear degenerate problem in anisotropic variable exponent spaces

zbMath1270.49005MaRDI QIDQ1941009

Denisa Stancu-Dumitru

Publication date: 11 March 2013

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: http://math.usm.my/bulletin/html/vol36_1_11.html

zbMATH Keywords

weak solutionsvariational methodsMountain Pass Theoremanisotropic problemdirect methods in the calculus of variations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Existence of solutions for minimax problems (49J35) Existence theories for optimal control problems involving partial differential equations (49J20) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20)

Related Items (9)

On \(\vec {p}(x)\)-anisotropic problems with Neumann boundary conditions ⋮ Existence results for a \(p(x)\)-Kirchhoff-type equation without Ambrosetti-Rabinowitz condition ⋮ On a class of anisotropic nonlinear elliptic equations with variable exponent ⋮ Entropy solutions for nonlinear elliptic anisotropic homogeneous Neumann problem ⋮ Intrinsic square function characterizations of Hardy spaces with variable exponents ⋮ On a class of anisotropic elliptic equations without Ambrosetti-Rabinowitz type conditions ⋮ Multilinear commutators of singular integral operators in variable exponent Herz-type spaces ⋮ Solutions for a variable exponent Neumann boundary value problems with Hardy critical exponent ⋮ Existence of solutions for \(p(x)\) Laplacian equations without Ambrosetti-Rabinowitz type condition

This page was built for publication: Multiplicity of solutions for a nonlinear degenerate problem in anisotropic variable exponent spaces