On a class of nonlinear Schrodinger equations in R2 involving critical growth

被引：0
|
作者：
do O, JM [1 ]
Souto, MAS
机构：
[1] Univ Fed Paraiba, Dept Matemat, BR-58059900 Joao Pessoa, Paraiba, Brazil
[2] Univ Fed Paraiba, Dept Matemt & Estatist, BR-58109970 Campina Grande, PB, Brazil
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2001年 / 174卷 / 02期
关键词：
Schrodinger equation; elliptic equations; critical growth; mountain-pass theorem; Trudinger-Moser inequality;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we deal with semilinear elliptic problem of the form -epsilon (2) Deltau + V(z) u = f(u), in R-2 u is an element of C-2(R-2) boolean AND H-1(R-2), u > 0, in R-2, where a is a small positive parameter, V: R-2 --> lib is a positive potential bounded away from zero, and f(u) behaves like exp(alphas(2)) when s --> + infinity. We prove the existence of solutions concentrating around a local minima not necessarily nondegenerate of V(x), when a tends to 0. (C) 2001 Academic Press.
引用
收藏
页码：289 / 311
页数：23
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