Uniqueness of the positive radial solution on an annulus of the Dirichlet problem for \(\Delta u - u + u^ 3 = 0\)
type: Item
instance of: scholarly article
title: Uniqueness of the positive radial solution on an annulus of the Dirichlet problem for \(\Delta u - u + u^ 3 = 0\)
zbMATH Open document ID: 0863.35040
published in: Journal of Differential Equations
publication date: 1997-06-03T00:00:00Z
review text: The author proves uniqueness of the positive radial solution of the Dirichlet problem for \(\Delta u-u+u^3=0\) on the annulus \(\Omega=\{x\in\mathbb{R}^3: R_1<|x|<R_2\}\), where \(0<R_1<R_2\leq+\infty\) and if \(R_2=+\infty\) the Dirichlet condition at \(\infty\) means that the solution belongs to \(L^2(\Omega)\).
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 909997
zbMATH Keywords: uniqueness
zbMATH Keywords: positive radial solution
zbMATH Keywords: annulus
author: Charles V. Coffman
reviewed by: Gianfranco Bottaro
MaRDI profile type: Publication
full work available at URL: jdeq.1996.0100
OpenAlex ID: W2054581719
DOI: 10.1006/JDEQ.1996.0100
description: scientific article; zbMATH DE number 909997