The asymptotic behaviour of the ground state solutions for Henon equation

被引：112
|
作者：
Cao, DM [1 ]
Peng, SJ
机构：
[1] Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
[2] Xiaogan Univ, Hubei 432100, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 278卷 / 01期
关键词：
D O I：
10.1016/S0022-247X(02)00292-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main purpose of this paper is to analyze the asymptotic behaviour of the ground state solution of xenon equation -Deltau = \x\(alpha)u(p-1) in Omega, u = 0 on partial derivativeOmega (Omega subset of R-n is a ball centered at the origin). It proved that for p close to 2* = 2n/(n - 2) (n greater than or equal to 3), the ground state solution u(p) has a unique maximum point x(p) and dist(x(p), partial derivativeOmega) --> 0 as p --> 2*. The asymptotic behaviour of u(p) is also given, which deduces that the ground state solution is non-radial. (C) 2003 Elsevier Science (USA). All rights reserved.
引用
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页码：1 / 17
页数：17
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