Asymptotic behaviour of a nonlinear elliptic equation with critical Sobolev exponent: the radial case. II
type: Item
instance of: scholarly article
title: Asymptotic behaviour of a nonlinear elliptic equation with critical Sobolev exponent: the radial case. II
zbMATH Open document ID: 1088.35020
author: Frédéric Robert
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 2002-12-01T00:00:00Z
review text: It is described the asymptotic behaviour of the positive radially symmetric solution \(u_\varepsilon\) as \(\varepsilon\to 0\) of the equation \[ \Delta u +a(| x| )u=N(N-2)f(| x| )u^{{N+2\over N-1}-\varepsilon} \quad \text{ in} \;B, \] where \(B\) is the unit ball in \({\mathbb R}^N\), \(N\geq 3\) and \(a,f : {\mathbb R}\to {\mathbb R}\) are smooth functions. There are also recovered existence results for the critical equation. Part I, cf. Adv. Differ. Equ. 6, No. 7, 821--846 (2001; Zbl 1087.35026).
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35B33
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 1836996
zbMATH Keywords: asymptotics
zbMATH Keywords: critical exponent
zbMATH Keywords: variational problems
reviewed by: Lubomira Softova
MaRDI profile type: Publication
full work available at URL: s00030-002-8133-x
OpenAlex ID: W2240506841
DOI: 10.1007/S00030-002-8133-X
description: scientific article; zbMATH DE number 1836996