EXISTENCE AND CONCENTRATE BEHAVIOR OF SCHRODINGER EQUATIONS WITH CRITICAL EXPONENTIAL GROWTH IN RN

被引：11

作者：

Zhang, Jian ^{[1
]}

Zou, Wenming ^{[2
]}

机构：

[1] China Univ Petr, Coll Sci, Qingdao 266555, Shandong, Peoples R China

[2] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2016年 / 48卷 / 02期

关键词：

Schrodinger equations; critical growth; ground state solution; concentration; SCALAR FIELD-EQUATIONS; STEEP POTENTIAL WELL; MULTI-BUMP SOLUTIONS; SEMICLASSICAL STATES; POSITIVE SOLUTIONS; ELLIPTIC PROBLEMS; BOUND-STATES; GROUND-STATE; MULTIPLICITY; NONLINEARITY;

D O I：

10.12775/TMNA.2016.058

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the nonlinear Schrodinger equation -Delta u + (1 + mu g(x))u = f(u) in R-N, where N >= 3, mu >= 0; the function g >= 0 has a potential well and f has critical growth. By using variational methods, the existence and concentration behavior of the ground state solution are obtained.

引用

页码：345 / 370

页数：26

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