Ground states of a quasilinear equation
type: Item
instance of: scholarly article
title: Ground states of a quasilinear equation
zbMATH Open document ID: 0821.34020
author: James Serrin
author: Lambertus A. Peletier
author: Henghui Zou
published in: Differential and Integral Equations
publication date: 1995-10-03T00:00:00Z
review text: The paper deals with the problem \(u'' - | u' |^ q + \lambda u^ p = 0\) on \(\mathbb{R}\), \(u \geq 0\), \(u \not \equiv 0\) on \(\mathbb{R}\), \(u(x) \to 0\) as \(x \to \pm \infty\), where the parameters \(\lambda\), \(p\) and \(q\) are positive. Some theorems are proved, studying the existence, uniqueness and asymptotic properties of the solutions of this problem for the following parameter values: \(0 < p < \infty\) and \(q < 2p/(p + 1)\).
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 597505
zbMATH Keywords: ground states
zbMATH Keywords: quasilinear equation
zbMATH Keywords: blow-up phenomena for parabolic equations
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: asymptotic properties
reviewed by: Elena Gavrilova
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 597505