Multiplicity and concentration of solutions for a quasilinear Choquard equation

被引：54
作者：
Alves, Claudianor O. [1 ]
Yang, Minbo [2 ]
机构：
[1] Univ Fed Campina Grande, Dept Matemat, BR-58429900 Campina Grande, PB, Brazil
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2014年 / 55卷 / 06期
关键词：
NONLINEAR SCHRODINGER-EQUATIONS; BOUND-STATES; SEMICLASSICAL STATES; POSITIVE SOLUTIONS; EXISTENCE; GASES;
D O I：
10.1063/1.4884301
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we study a quasilinear Choquard equation involving the p-laplacian operator and a potential function V. Under suitable assumptions on V and the nonlinearity, we prove the existence, multiplicity, and concentration of solutions for the equation by variational methods. (C) 2014 AIP Publishing LLC.
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页数：21
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