Existence results for the \(p(x)\)-Laplacian with nonlinear boundary condition
type: Item
instance of: scholarly article
title: Existence results for the \(p(x)\)-Laplacian with nonlinear boundary condition
zbMATH Open document ID: 1264.35109
DOI: 10.5402/2012/727398
author: Zhiqiang Wei
author: Zigao Chen
published in: ISRN Applied Mathematics
publication date: 2013-06-11T00:00:00Z
review text: Summary: By using the variational method, under appropriate assumptions on the perturbation terms \(f(x, u)\), \(g(x, u)\) such that the associated functional satisfies the global minimizer condition and the fountain theorem, respectively, the existence and multiple results for the \(p(x)\)-Laplacian with nonlinear boundary condition in bounded domain \(\Omega\) were studied. The discussion is based on variable exponent Lebesgue and Sobolev spaces.
Mathematics Subject Classification ID: 35J66
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 6172979
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2012/727398
OpenAlex ID: W2149965852
Wikidata QID: Q58691870
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description: scientific article; zbMATH DE number 6172979