An existence theorem for a perturbed singular elliptic problem
type: Item
instance of: scholarly article
title: An existence theorem for a perturbed singular elliptic problem
zbMATH Open document ID: 1162.35362
DOI: 10.4171/PM/1834
author: Giovanni Anello
published in: Portugaliae Mathematica. Nova Série
publication date: 2009-03-30T00:00:00Z
review text: Summary: We prove the existence of a positive solution for singular elliptic problems of the type \(-\Delta u = \alpha (x)u ^{-\beta} + \lambda f(x, u)\) in \(\Omega , u_{| \partial \Omega } = 0\), where \(\beta \) is a positive real number.
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 5535153
zbMATH Keywords: singular elliptic problems
zbMATH Keywords: classical solution
zbMATH Keywords: positive solution
MaRDI profile type: Publication
cites work: Q4669349
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full work available at URL: https://doi.org/10.4171/pm/1834
OpenAlex ID: W1990949488
description: scientific article; zbMATH DE number 5535153