Brezis-Nirenberg type theorems and multiplicity of positive solutions for a singular elliptic problem
type: Item
instance of: scholarly article
title: Brezis-Nirenberg type theorems and multiplicity of positive solutions for a singular elliptic problem
zbMATH Open document ID: 1158.35044
author: Norimichi Hirano
author: Claudio Saccon
author: Naoki Shioji
published in: Journal of Differential Equations
publication date: 2008-10-21T00:00:00Z
review text: The authors study the problem \[ \begin{cases}\Delta u=u^{-q}+\lambda u^{p},&\text{in }\Omega,\\ u=0, &\text{on }\partial\Omega,\end{cases} \] where \(\Omega\) is a bounded domain in \(\mathbb R^{N}\), \(q>0\), \(p>1\), and \(\lambda>0\), and obtain existence and multiplicity of positive solution.
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 5354954
zbMATH Keywords: Brezis-Nirenberg type theorems
zbMATH Keywords: singular elliptic problem
zbMATH Keywords: positive solutions
reviewed by: Jiaqi Mo
MaRDI profile type: Publication
full work available at URL: j.jde.2008.06.020
OpenAlex ID: W2050940346
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DOI: 10.1016/J.JDE.2008.06.020
description: scientific article; zbMATH DE number 5354954