Existence and nonexistence results for classes of singular elliptic problem
type: Item
instance of: scholarly article
title: Existence and nonexistence results for classes of singular elliptic problem
zbMATH Open document ID: 1207.35168
DOI: 10.1155/2010/435083
author: Peng Zhang
author: Jia-Feng Liao
published in: Abstract and Applied Analysis
publication date: 2010-09-27T00:00:00Z
full work available at URL: https://eudml.org/doc/230690
review text: Summary: The singular semilinear elliptic problem \(-\Delta u+k(x)u^{-\gamma}= \lambda u^p\) in \(\Omega\), \(u>0\) in \(\Omega\), \(u=0\) on \(\partial\Omega\), is considered, where \(\Omega\) is a bounded domain with smooth boundary in \(\mathbb R^N\), \(k\in C_{\text{loc}}^a(\Omega)\cap C(\overline{\Omega})\), and \(\gamma,p,\lambda\) are three positive constants. Some existence or nonexistence results are obtained for solutions of this problem by the sub-supersolution method.
Mathematics Subject Classification ID: 35J75
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 5791624
zbMATH Keywords: singular semilinear ellipitc problem
zbMATH Keywords: existence
zbMATH Keywords: sub-supersolution method
Wikidata QID: Q58649855
MaRDI profile type: Publication
OpenAlex ID: W2124798750
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description: scientific article; zbMATH DE number 5791624