Stable standing waves for a class of nonlinear Schrodinger-Poisson equations

被引：69

作者：

Bellazzini, Jacopo ^{[1
]}

Siciliano, Gaetano ^{[2
]}

机构：

[1] Univ Pisa, Dipartimento Matemat Applicata U Dini, I-56127 Pisa, Italy

[2] Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo, Brazil

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2011年 / 62卷 / 02期

基金：

巴西圣保罗研究基金会;

关键词：

Schrodinger-Poisson equations; Standing waves; Orbital stability; CONCENTRATION-COMPACTNESS PRINCIPLE; ORBITAL STABILITY; SOLITARY WAVES; MAXWELL; EXISTENCE; CALCULUS; SYSTEM;

D O I：

10.1007/s00033-010-0092-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of orbitally stable standing waves with prescribed L (2)-norm for the following Schrodinger-Poisson type equation our approach recovers the result of Sanchez and Soler (J Stat Phys 114:179-204, 2004) for sufficiently small charges. The main point is the analysis of the compactness of minimizing sequences for the related constrained minimization problem. In the final section, a further application to the Schrodinger equation involving the biharmonic operator is given.

引用

页码：267 / 280

页数：14

共 22 条

[1] Ground state solutions for the nonlinear Schrodinger-Maxwell equations [J].