Existence and multiplicity of solutions for a quasilinear equation involving thep(x)-Laplace operator

DOI10.1080/17476933.2016.1219999zbMath1479.35494OpenAlexW2515974115MaRDI QIDQ2979507

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Publication date: 25 April 2017

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2016.1219999

zbMATH Keywords

Dirichlet problemvariational methods\(p(x)\)-Laplace operatorexistence an non-existence of positive solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (9)

Positive solutions for the \(p(x)-\)Laplacian : application of the Nehari method ⋮ On the existence of a weak solution for some singular \(p(x)\)-biharmonic equation with Navier boundary conditions ⋮ Existence and nonexistence of positive solutions of some elliptic problems with variable exponents ⋮ The fibering map approach for a singular elliptic system involving the $p(x)$-Laplacian and nonlinear boundary conditions ⋮ Existence and multiplicity results for a Steklov problem involving \((p(x), q(x))\)-Laplacian operator ⋮ A singular elliptic system involving the p(x)-Laplacian and generalized Lebesgue–Sobolev spaces ⋮ A Kirchhoff \(p(x)\)-biharmonic problem involving singular nonlinearities and Navier boundary conditions ⋮ On a class of \(p(x)\)-Laplacian equations without any growth and Ambrosetti-Rabinowitz conditions ⋮ Unnamed Item

Cites Work

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• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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