Existence and number of solutions for a class of semilinear Schrodinger equations

被引：0

作者：

Ding, YH ^{[1
]}

Szulkin, A

机构：

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

[2] Univ Stockholm, Dept Math, S-10691 Stockholm, Sweden

来源：

CONTRIBUTIONS TO NONLINEAR ANALYSIS: A TRIBUTE TO D. G. DE FIGUEIREDO ON THE OCCASION OF HIS 70TH BIRTHDAY | 2006年 / 66卷

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using an argument of concentration-compactness type we study the problem -Delta u + lambda V(x)u = vertical bar u vertical bar(p-2) u, x is an element of R-N, where 2 < p < 2* and the set {x is an element of R-N : V(x) < b} is nonempty and. has finite measure for some b > 0. In particular, we show that if V-1(0) has nonempty interior, then the number of solutions increases with A. We also study concentration of solutions on the set V-1(0) as lambda -> infinity.

引用

页码：221 / +

页数：2

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