Combined concave-convex effects in anisotropic elliptic equations with variable exponent

DOI10.1007/s00030-014-0288-8zbMath1318.35060OpenAlexW1986157308MaRDI QIDQ2351406

Vicenţiu D. Rădulescu, Ionela-Loredana Stăncuţ

Publication date: 23 June 2015

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-014-0288-8

zbMATH Keywords

weak solutionquasilinear elliptic equationcritical point\({\vec{p}(\cdot)}\)-Laplace operatorweighted anisotropic variable exponent Sobolev space

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (11)

Nonhomogeneous Dirichlet problems without the Ambrosetti-Rabinowitz condition ⋮ The stability of the anisotropic parabolic equation with the variable exponent ⋮ Unnamed Item ⋮ Critical quasilinear elliptic problems using concave-convex nonlinearities ⋮ Existence and multiplicity results for anisotropic double-phase differential inclusion with unbalanced growth and lack of compactness ⋮ Existence of solutions for a critical Choquard-Kirchhoff problem with variable exponents ⋮ On anisotropic parabolic equations with a nonlinear convection term depending on the spatial variable ⋮ Quasilinear parabolic problem with \(p(x)\)-Laplacian: existence, uniqueness of weak solutions and stabilization ⋮ Existence and multiplicity of solutions for \(p(x)\)-curl systems arising in electromagnetism ⋮ Compact Sobolev embeddings and positive solutions to a quasilinear equation with mixed nonlinearities ⋮ Some remarks on an eigenvalue problem for an anisotropic elliptic equation with indefinite weight

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