The Nehari manifold approach for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>x</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-Laplacian problem with Neumann boundary conditio

DOI10.14232/EJQTDE.2013.1.39zbMath1340.35087OpenAlexW2183524087MaRDI QIDQ5502520

Horieh Ghorbani, Ali Taghavi, Ghasem Alizadeh Afrouzi

Publication date: 26 August 2015

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: http://www.math.u-szeged.hu/ejqtde/p2198.pdf

zbMATH Keywords

Nehari manifoldnonstandard growth conditionvariable exponent Sobolev space\(p(x)\)-Laplacian problems

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (4)

The fibering map approach for a singular elliptic system involving the $p(x)$-Laplacian and nonlinear boundary conditions ⋮ Existence of a solution for a nonlocal elliptic system of \((p(x),q(x))\)-Kirchhoff type ⋮ Multiplicity of solutions for variable-order fractional Kirchhoff equations with nonstandard growth ⋮ A singular elliptic system involving the p(x)-Laplacian and generalized Lebesgue–Sobolev spaces

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