A sharp oscillation property involving the critical Sobolev exponent for a class of superlinear elliptic problems

被引：1
|
作者：
Lopez-Gomez, Julian [1 ]
机构：
[1] Univ Complutense Madrid, Dept Matemat Aplicada, E-28040 Madrid, Spain
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2013年 / 143卷 / 06期
关键词：
D O I：
10.1017/S0308210512000625
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the asymptotic behaviour as := u(0) of the first zero R() of the radially symmetric solution of the semilinear equation -Delta u = vertical bar u vertical bar(beta-1) u + h in (n), n 1, where h > 0 and > 1. We establish that R() = O((-(-1)/2)) if n = 1, 2 or n 3 and < (n + 2)/(n - 2), and conjecture that lim inf R() > 0 if n 3 and > (n + 2)/(n - 2).
引用
收藏
页码：1303 / 1320
页数：18
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