Large solutions of semilinear elliptic equations with nonlinear gradient terms
type: Item
instance of: scholarly article
title: Large solutions of semilinear elliptic equations with nonlinear gradient terms
zbMATH Open document ID: 0951.35041
DOI: 10.1155/S0161171299228694
author: Alan V. Lair
author: Aihua W. Wood
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2000-12-06T00:00:00Z
full work available at URL: https://eudml.org/doc/48583
review text: The authors show that under suitable assumptions on \(\gamma >1\), \(q>0\), and \(p(x)\) large solutions of the equations \[ \Delta u \pm |\nabla u|^q = p(x) u^\gamma \] exist. Moreover, if \(\gamma \leq 1\) or the continuous function \(p(x)\) has compact support in \(\Omega,\) such solutions do not exist.
reviewed by: Giuseppe Di Fazio
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1417985
zbMATH Keywords: elliptic equations
zbMATH Keywords: non linear equations
zbMATH Keywords: existence
zbMATH Keywords: non-existence
MaRDI profile type: Publication
OpenAlex ID: W2042478228
description: scientific article; zbMATH DE number 1417985