Existence and nonexistence of interior-peaked solution for a nonlinear neumann problem

被引:17
作者
Cao, DM [1 ]
Noussair, ES
Yan, SS
机构
[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
[2] Univ New S Wales, Sydney, NSW 2052, Australia
[3] Univ Sydney, Sydney, NSW 2006, Australia
关键词
D O I
10.2140/pjm.2001.200.19
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show that the critical problem [GRAPHICS] has no positive solutions concentrating, as lambda --> infinity, at interior points of Omega if a = 0, but for a class of symmetric domains Omega, the problem with a > 0 has solutions concentrating at interior points of Omega.
引用
收藏
页码:19 / 41
页数:23
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