On positive solutions of quasi-linear elliptic equations
type: Item
instance of: scholarly article
title: On positive solutions of quasi-linear elliptic equations
zbMATH Open document ID: 0652.35044
published in: Hokkaido Mathematical Journal
publication date: 1988-01-01T00:00:00Z
review text: The author proves the existence of positive solutions of the Dirichlet problem for a quasi-linear elliptic equation, where the nonlinearity f(x,u) satisfies the following two conditions (a) f(x,0)\(\geq 0\), (b) there exist functions \(g\in L^{\infty}\) and \(c\in L^ 2\) such that \(f(x,s)\leq g(x)s+c(x)\) for all \(s\geq 0\). The boundary data belong to \(L^ 2\) and a corresponding solution is in a weighted Sobolev space.
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35D05
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 35R05
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 4063641
zbMATH Keywords: existence
zbMATH Keywords: positive solutions
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: quasi-linear
zbMATH Keywords: weighted Sobolev space
author: Jan Chabrowski
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.14492/hokmj/1381517796
OpenAlex ID: W2071181714
DOI: 10.14492/HOKMJ/1381517796
description: scientific article; zbMATH DE number 4063641