MULTI-BUMP SOLUTIONS FOR FRACTIONAL SCHRODINGER EQUATION WITH ELECTROMAGNETIC FIELDS AND CRITICAL NONLINEARITY

被引：0
|
作者：
Liang, Sihua [1 ]
Nguyen Thanh Chung [2 ]
Zhang, Binlin [3 ]
机构：
[1] Changchun Normal Univ, Coll Math, Changchun 130032, Peoples R China
[2] Quang Binh Univ, Dept Math, 312 Ly Thuong Kiet, Dong Hoi, Quang Binh, Vietnam
[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
来源：
ADVANCES IN DIFFERENTIAL EQUATIONS | 2020年 / 25卷 / 7-8期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
KIRCHHOFF TYPE PROBLEMS; SEMICLASSICAL LIMIT; POSITIVE SOLUTIONS; EXISTENCE; MULTIPLICITY; STATES;
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 consider the existence of multi-bump solutions for a class of the fractional Schrodinger equation with external magnetic field and critical nonlinearity in R-N: (-Delta)(A)(s)u + (lambda V(x) + Z(x))u = beta f(vertical bar u vertical bar(2))u + vertical bar u vertical bar(2s)*(-2) u, where f is a continuous function satisfying Ambrosetti-Rabinowitz con- dition, and V : R-N -> R has a potential well Omega := intV(-1) (0) which possesses k disjoint bounded components Omega := boolean OR(k)(j=1)Omega(j). By using variational methods, we prove that if the parameter lambda > 0 is large enough, then the equation has at least 2(k) - 1 multi-bump solutions.
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页码：423 / 456
页数：34
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