On the standing waves for nonlinear Hartree equation with confining potential

被引：16

作者：

Cao, Pei ^{[1
]}

Wang, Jing ^{[1
]}

Zou, Wenming ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2012年 / 53卷 / 03期

关键词：

CONCENTRATION-COMPACTNESS PRINCIPLE; GROUND-STATES; SCHRODINGER-EQUATIONS; STABILITY THEORY; SOLITARY WAVES; EXISTENCE; OPERATORS; UNIQUENESS; CALCULUS; SYMMETRY;

D O I：

10.1063/1.3691190

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the standing wave solutions for nonlinear Hartree equations. Of special interest to us is the existence and orbital stability of the standing wave solutions for the Hartree equation in the presence of confining potential. We establish the existence of two different notions of ground states via variation methods and orbital stability results for the corresponding standing wave solutions for focusing Hartree equations. The existence of the standing waves for defocusing Hartree equation is also considered. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.3691190]

引用

页数：27

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