A class of quasilinear differential inequalities whose solutions are ultimately constant
type: Item
instance of: scholarly article
title: A class of quasilinear differential inequalities whose solutions are ultimately constant
zbMATH Open document ID: 0644.35099
DOI: 10.1007/BF00275876
published in: Archive for Rational Mechanics and Analysis
publication date: 1987-01-01T00:00:00Z
review text: The author studies the differential inequality \[ (Tu)(sign u) \geq f(| u|,| \text{grad} u|)\text{ on } \Omega, \] where T is a quasilinear elliptic operator, \(\Omega\) has a complement compact in \({\mathbb{R}}^ n \)and f is such that the ordinary differential equation \(y''=f(y,y')\), \(y(0)=y'(0)=0\) does not have a unique solution. He proves that u is constant for large \(| x|\) and, under mild supplementary hypothesis, u has compact support.
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35B05
Mathematics Subject Classification ID: 35B60
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 4050180
zbMATH Keywords: differential inequality
zbMATH Keywords: quasilinear
zbMATH Keywords: constant
zbMATH Keywords: compact support
author: Ray Redheffer
reviewed by: Jesus Idelfonso Díaz
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00275876
OpenAlex ID: W4240649045
description: scientific article; zbMATH DE number 4050180