Solutions with multiple peaks for nonlinear elliptic equations

被引：71

作者：

Cao, DM

Noussair, ES

Yan, SS

机构：

[1] Chinese Acad Sci, Wuhan Inst Math Sci, Phys Math Lab, Wuhan 430071, Peoples R China

[2] Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia

[3] S China Univ Technol, Dept Appl Math, Guangzhou 510641, Peoples R China

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1999年 / 129卷

基金：

中国国家自然科学基金; 澳大利亚研究理事会;

关键词：

D O I：

10.1017/S030821050002134X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Solutions with peaks near the critical points of Q(x) are constructed for the problem -Delta u + lambda(2)u = Q(x)\u\(P-2)u, x is an element of R-N, u is an element of H-1 and 2 < p < (2N/(N - 2)). We establish the existence of 2(k) - 1 positive solutions when Q(x) has k non-degenerate critical points in R-N.

引用

页码：235 / 264

页数：30

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