Existence and asymptotic behavior of boundary blow-up solutions for weighted \(p(x)\)-Laplacian equations with exponential nonlinearities
type: Item
instance of: scholarly article
title: Existence and asymptotic behavior of boundary blow-up solutions for weighted \(p(x)\)-Laplacian equations with exponential nonlinearities
zbMATH Open document ID: 1216.35064
DOI: 10.1155/2010/971268
author: Li Yin
author: Yunrui Guo
author: Jing Yang
author: Bibo Lu
author: Qihu Zhang
published in: Abstract and Applied Analysis
publication date: 2011-02-09T00:00:00Z
full work available at URL: https://eudml.org/doc/226078
review text: This paper investigates the following \(p(x)\)-Laplacian equations with exponential nonlinearities: \(-\Delta_{p(x)}u+ \rho(x) e^{f(x,u)}=0\) in \(\Omega\), \(u(x)\to+\infty\) as \(d(x,\partial\Omega)\to 0\), where \(-\Delta_{p(x)}u= -\text{div}(|\nabla u|^{p(x)-2}\nabla u)\) is called \(p(x)\)-Laplacian, \(\rho(x)\in C(\Omega)\). The asymptotic behavior of boundary blow-up solutions is discussed, and the existence of boundary blow-up solutions is given.
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35D30
zbMATH DE Number: 5848823
zbMATH Keywords: \(p(x)\)-Laplacian
zbMATH Keywords: blow-up solutions
zbMATH Keywords: asymptotic behavior
Wikidata QID: Q58649195
MaRDI profile type: Publication
OpenAlex ID: W2038926173
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description: scientific article; zbMATH DE number 5848823