Positive solutions of a Schrodinger equation with critical nonlinearity

被引：58

作者：

Clapp, M ^{[1
]}

Ding, YH

机构：

[1] Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico

[2] Chinese Acad Sci, Inst Math, AMSS, Beijing 100080, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2004年 / 55卷 / 04期

关键词：

nonlinear Schrodinger equation; critical nonlinearity; localized solutions; potential well;

D O I：

10.1007/s00033-004-1084-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the nonlinear Schrodinger equation -Deltau + lambdaa(x)u = muu + u(2*-1), u is an element of R-N, with critical exponent 2* = 2N/(N - 2), N greater than or equal to 4, where a greater than or equal to 0 has a potential well. Using variational methods we establish existence and multiplicity of positive solutions which localize near the potential well for mu small and lambda large.

引用

页码：592 / 605

页数：14

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