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
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
收藏
页数:19
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