On Schrodinger-Poisson Systems

被引：253

作者：

Ambrosetti, Antonio ^{[1
]}

机构：

[1] SISSA, I-34014 Trieste, Italy

来源：

MILAN JOURNAL OF MATHEMATICS | 2008年 / 76卷 / 01期

关键词：

Schrodinger-Poisson equation; Variational methods; Perturbation methods;

D O I：

10.1007/s00032-008-0094-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss some recent results dealing with the existence of bound states of the nonlinear Schrodinger-Poisson system { -Delta u+V(x)u+lambda K(x)phi(x)u=vertical bar u vertical bar(p-1)u, -Delta phi=K(x)u(2), as well as of the corresponding semiclassical limits. The proofs are based upon Critical Point theory and Perturbation Methods.

引用

页码：257 / 274

页数：18

共 19 条

[1] Singularly perturbed elliptic equations with symmetry: Existence of solutions concentrating on spheres, part I [J].