EXSTENCE OF POSITIVE GROUND STATE SOLUTIONS FOR A CLASS OF ASYMPTOTICALLY PERIODIC SCHRODINGER-POISSON SYSTEMS

被引：0

作者：

Wang, Da-Bin ^{[1
]}

Xie, Hua-Fei ^{[1
]}

Guan, Wen ^{[1
]}

机构：

[1] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年

关键词：

Schrodinger-Poisson systems; ground state solution; variational methods; CONCENTRATION-COMPACTNESS PRINCIPLE; KLEIN-GORDON-MAXWELL; SEMICLASSICAL STATES; CRITICAL GROWTH; EQUATIONS; EXISTENCE; NONLINEARITY; POTENTIALS; CALCULUS;

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, by using variational method, we study the existence of a positive ground state solution for the Schrodinger-Poisson system -Delta u + V(x)u + K(x)phi u = f(x, u), x is an element of R-3, -Delta phi = K(x)u(2), x is an element of R-3, where V (x), K (x) and f (x, u) are asymptotically periodic functions in x at infinity.

引用

页数：13

共 49 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] Semiclassical states of nonlinear Schrodinger equations [J].

Ambrosetti, A ;

Badiale, M ;

Cingolani, S .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1997, 140 (03) :285-300

[3]

Ambrosetti A., 2008, COMM CONT MATH, V10, P1

[4]

[Anonymous], 1997, Minimax theorems

[5] 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

[6] Concentration and compactness in nonlinear Schrodinger-Poisson system with a general nonlinearity [J].

Azzollini, A. .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 249 (07) :1746-1763

[7]

Benci V., 1998, Topol. Methods Nonlinear Anal., V11, P283

[8]

BERESTYCKI H, 1983, ARCH RATION MECH AN, V82, P313

[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 4 5 →