Symmetry of positive solutions of \(\Delta u + u^ p = 0\) in \(\mathbf R^ n\)
type: Item
instance of: scholarly article
title: Symmetry of positive solutions of \(\Delta u + u^ p = 0\) in \(\mathbf R^ n\)
zbMATH Open document ID: 0844.35028
published in: Journal of Differential Equations
publication date: 1996-08-29T00:00:00Z
review text: The Lane-Emden equation \(\Delta u+ u^p= 0\) is considered in \(\mathbb{R}^n\), \(n> 2\). Conditions are established for a nontrivial nonnegative solution of this equation to be radially symmetric. Hölder type and Lipschitz type estimates and the Alexandroff-Serrin moving plane method are applied.
reviewed by: V. N. Gusyatnikova
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B05
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 790883
zbMATH Keywords: moving plane method
zbMATH Keywords: radially symmetric solution
author: Henghui Zou
MaRDI profile type: Publication
full work available at URL: jdeq.1995.1105
OpenAlex ID: W2017883469
DOI: 10.1006/JDEQ.1995.1105
description: scientific article; zbMATH DE number 790883