Asymptotic behavior on the Henon equation with supercritical exponent

被引：24
|
作者：
Li ShuJuan [1 ,2 ]
Peng ShuangJie [1 ]
机构：
[1] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
[2] Jiangxi Bluesky Univ, Sch Sci, Nanchang 330098, Peoples R China
来源：
SCIENCE IN CHINA SERIES A-MATHEMATICS | 2009年 / 52卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Henon equation; asymptotic behavior; supercritical exponent; ELLIPTIC-EQUATIONS; GROUND-STATES; POSITIVE SOLUTIONS; CRITICAL GROWTH; PROFILE;
D O I：
10.1007/s11425-009-0094-7
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 behavior of the radial solution of Henon equation -Delta u = vertical bar x vertical bar(alpha)u(p-1), u > 0, x is an element of B-R(0) subset of R-n (n >= 3), u = 0, x is an element of partial derivative B-R(0), where p -> p(alpha) = 2(n+alpha)/n-2 from left side, alpha > 0.
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页码：2185 / 2194
页数：10
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