Multi-peak solutions for super-critical elliptic problems in domains with small holes

被引：63

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, UMR2071 CNRS, Santiago, Chile

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2002年 / 182卷 / 02期

关键词：

supercritical exponent; solution with multiple double-spikes;

D O I：

10.1006/jdeq.2001.4098

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the slightly super-critical elliptic problem [GRAPHICS] where epsilon > 0 is a small parameter and Omega subset of R-N is a bounded domain with smooth boundary. Assuming that the domain exhibits k sufficiently small holes, multiple solutions are constructed by gluing double-spike patterns located near each of the holes. (C) 2002 Elsevier Science (USA).

引用

页码：511 / 540

页数：30

共 16 条

[1] ON A VARIATIONAL PROBLEM WITH LACK OF COMPACTNESS - THE TOPOLOGICAL EFFECT OF THE CRITICAL-POINTS AT INFINITY [J].