Existence of solutions for anisotropic quasilinear elliptic equations with variable exponent

DOI10.1515/APAM.2010.025zbMath1198.35103MaRDI QIDQ4933464

Maria-Magdalena Boureanu

Publication date: 13 October 2010

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Ekeland's principleexistence of weak solutionsmountain-pass theoremanisotropic variable exponent Sobolev spacesquasiliniar elliptic equations

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) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (4)

Solutions for a quasilinear elliptic p⃗(x)${\vec{p}(x)}$‐Kirchhoff type problem with weight and nonlinear Robin boundary conditions ⋮ Existence and asymptotic stability for generalized elasticity equation with variable exponent ⋮ Anisotropic Neumann problems in Sobolev spaces with variable exponent ⋮ Multiplicity of solutions for a class of anisotropic elliptic equations with variable exponent

Cites Work

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• Density of smooth functions in W ^{k, p(x)} ( Ω )
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• On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent
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• A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
• Mathematical modeling of electrorheological materials

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