On the asymptotic behavior and radial symmetry of positive solutions of semilinear elliptic equations in \({\mathbb{R}{}}^ n\). I: Asymptotic behavior
type: Item
instance of: scholarly article
title: On the asymptotic behavior and radial symmetry of positive solutions of semilinear elliptic equations in \({\mathbb{R}{}}^ n\). I: Asymptotic behavior
zbMATH Open document ID: 0764.35013
DOI: 10.1007/BF00387895
author: Yi Li
author: Wei-Ming Ni
published in: Archive for Rational Mechanics and Analysis
publication date: 1992-09-27T00:00:00Z
review text: The authors improve a previous paper [Arch. Ration. Mech. Anal. 108, No. 2, 175-194 (1989; Zbl 0705.35039)] proving the symmetry in \(\mathbb{R}^ N\) of any solution of the semilinear equation \(\Delta u+K(x)f(u)=0\) under suitable assymptions. The key new idea, in order to apply the ``moving plane'' process, is to obtain precise asymptotic expansions of solutions at infinity. Further extensions to more general equations and for domains other than the entire \(\mathbb{R}^ N\) are also given.
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 63709
zbMATH Keywords: moving plane process
reviewed by: Jesus Idelfonso Díaz
MaRDI profile type: Publication
cites work: Q3923023
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cites work: Semilinear elliptic equations of Matukuma-type and related topics
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full work available at URL: https://doi.org/10.1007/bf00387895
OpenAlex ID: W2081116665
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description: scientific article; zbMATH DE number 63709