Multi-bubble solutions for slightly super-critical elliptic problems in domains with symmetries

被引：46
|
作者：
DeL Pino, M
Felmer, P
Musso, M
机构：
[1] Univ Chile, Dept Ingn Matemat, Santiago, Chile
[2] Univ Chile, Ctr Modelamiento Matemat, Santiago, Chile
[3] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2003年 / 35卷
关键词：
D O I：
10.1112/S0024609303001942
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to show the existence of solutions with an arbitrarily large number of bubbles for the slightly super-critical elliptic problem -Deltau = u((N+2)/(N-2)+epsilon) in Omega, subject to the conditions that u > 0 in Omega, and u = 0 on partial derivativeOmega, where epsilon > 0 is a small parameter and Omega subset of R(N) is a bounded domain with certain symmetries, for instance an annulus or a torus in R(3).
引用
收藏
页码：513 / 521
页数：9
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