Multiple positive solutions for the Brezis-Nirenberg problem on the sphere SN

被引：0
|
作者：
Stingelin, S [1 ]
机构：
[1] Univ Basel, Math Inst, CH-4051 Basel, Switzerland
来源：
EQUADIFF 2003: INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS | 2005年
关键词：
D O I：
10.1142/9789812702067_0093
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We look for two positive solutions of the Brezis-Nirenberg problem -Delta u-lambda u(q-1) = u(2*-1) in bounded domains on the sphere S-n, with 1 < q < 2 and 2* the critical Sobolev exponent. The first solution will be found as a minimizer of a cutoff functional and the second as a critical point with the mountain pass theorem.
引用
收藏
页码：558 / 560
页数：3
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