A survey on nonlinear Schrodinger equation with growing nonlocal nonlinearity

被引：0

作者：

Maeda, Masaya ^{[1
]}

Masaki, Satoshi ^{[2
]}

机构：

[1] Tohoku Univ, Math Inst, Sendai, Miyagi 9808578, Japan

[2] Gakushuin Univ, Dept Math, Toshima Ku, Tokyo 1718588, Japan

来源：

NONLINEAR DYNAMICS IN PARTIAL DIFFERENTIAL EQUATIONS | 2015年 / 64卷

关键词：

Nonlinear Schrodinger equation; Hartree equation; Schrodinger-Poisson system; ground state;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider nonlinear Schrodinger equation with nonlocal nonlinearity which is described by a growing interaction potential. This model contains low-dimensional Schrodinger Poisson system. We briefly survey recent progress on this subject and then show existence of ground state in a specific model.

引用

页码：273 / 280

页数：8

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