MULTI-PEAK SOLUTIONS FOR NONLINEAR CHOQUARD EQUATION WITH A GENERAL NONLINEARITY

被引：29
|
作者：
Yang, Minbo [1 ]
Zhang, Jianjun [2 ]
Zhang, Yimin [3 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
[2] Chongqing Jiaotong Univ, Coll Math & Stat, Chongqing 400074, Peoples R China
[3] Wuhan Univ Technol, Dept Math, Wuhan 430070, Peoples R China
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2017年 / 16卷 / 02期
关键词：
Multi-peak solutions; Choquard equation; semiclassical states; penalization arguments; Berestycki-Lions conditions; GROUND-STATE SOLUTIONS; SCHRODINGER-EQUATIONS; STANDING WAVES; ELLIPTIC PROBLEMS; BOUND-STATES; SEMICLASSICAL STATES; DIRICHLET PROBLEMS; SADDLE-POINTS; EXISTENCE; SYSTEMS;
D O I：
10.3934/cpaa.2017025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a class of nonlinear Choquard type equations involving a general nonlinearity. By using the method of penalization argument, we show that there exists a family of solutions having multiple concentration regions which concentrate at the minimum points of the potential V. Moreover, the monotonicity of f(s)/s and the so-called Ambrosetti-Rabinowitz condition are not required.
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页码：493 / 512
页数：20
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