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.
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页码：592 / 605
页数：14
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