Double blow-up solutions for a Brezis-Nirenberg type problem

被引：18
|
作者：
Musso, M [1 ]
Pistoia, A
机构：
[1] Politecn Torino, Turin, Italy
[2] Univ Roma La Sapienza, Rome, Italy
来源：
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2003年 / 5卷 / 05期
关键词：
critical Sobolev exponent; blowing-up solution; Robin's function;
D O I：
10.1142/S0219199703001099
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we construct a domain 0 for which the problem {-Deltau = u N+2/N-2 -epsilonu in Omega u > 0 in Omega u = 0 on partial derivativeOmega has a family of solutions which blow-up and concentrate in two different points of Omega as epsilon goes to 0.
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页码：775 / 802
页数：28
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