EXISTENCE AND CONCENTRATION OF POSITIVE BOUND STATES FOR SCHRODINGER-POISSON SYSTEMS WITH POTENTIAL FUNCTIONS

被引：0

作者：

Cunha, Patricia L. ^{[1
]}

机构：

[1] Fundacao Getulio Vargas, Dept Informat & Metodos Quantitat, Sao Paulo, Brazil

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年

关键词：

Schrodinger-Poisson system; variational methods; concentration; MULTIPLICITY; EQUATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we study the existence and concentration behavior of bound states for a nonlinear Schrodinger-Poisson system with a parameter epsilon > 0. Under suitable conditions on the potential functions, we prove that for epsilon small the system has a positive solution that concentrates at a point which is a global minimum of the minimax function associated to the related autonomous problem.

引用

页数：15

共 27 条

[1] Schrodinger-Poisson equations without Ambrosetti-Rabinowitz condition [J].

Alves, Claudianor O. ;

Soares Souto, Marco Aurelio ;

Soares, Sergio H. M. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 377 (02) :584-592

[2] Existence and concentration of positive solutions for a class of gradient systems [J].

Alves, CO ;

Soares, SHM .

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2006, 12 (04) :437-457

[3] Nonlinear perturbations of a periodic elliptic problem with critical growth [J].

Alves, CO ;

Carriao, PC ;

Miyagaki, OH .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 260 (01) :133-146

[4] On Schrodinger-Poisson Systems [J].

Ambrosetti, Antonio .

MILAN JOURNAL OF MATHEMATICS, 2008, 76 (01) :257-274

[5]

[Anonymous], 1996, MINIMAX THEOREMS

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

Azzollini, A. ;

Pomponio, A. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 345 (01) :90-108

[7]

Benci V., 1998, Top. Meth. Nonlinear Anal, V11, P283, DOI [https://doi.org/10.12775/TMNA.1998.019, DOI 10.12775/TMNA.1998.019]

[8]

BREZIS H, 1979, J MATH PURE APPL, V58, P137

[9] Positive solutions for some non-autonomous Schrodinger-Poisson systems [J].

Cerami, Giovanna ;

Vaira, Giusi .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 248 (03) :521-543

[10]

Coclite G.M., 2003, Commun. Appl. Anal, V7, P417

← 1 2 3 →