Existence and concentration of ground states for Schrodinger-Poisson equations with critical growth

被引：132

作者：

He, Xiaoming ^{[1
]}

Zou, Wenming ^{[2
]}

机构：

[1] Minzu Univ China, Dept Math, Beijing 100081, Peoples R China

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

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2012年 / 53卷 / 02期

关键词：

SEMILINEAR ELLIPTIC PROBLEMS; POSITIVE SOLUTIONS; BOUND-STATES; SPHERES; MULTIPLICITY;

D O I：

10.1063/1.3683156

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study the existence and concentration behavior of ground state solutions for a class of Schrodinger-Poisson equation with a parameter epsilon > 0. Under some suitable conditions on the nonlinearity f and the potential V, we prove that for e small, the equation has a ground state solution concentrating around global minimum of the potential V in the semi-classical limit. Also, the exponential decay of the ground state solutions is studied. C (C) 2012 American Institute of Physics. [doi:10.1063/1.3683156]

引用

页数：19

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