INFINITELY MANY SOLUTIONS FOR CRITICAL FRACTIONAL EQUATION WITH SIGN-CHANGING WEIGHT FUNCTION

被引:1
作者
Chen, Wei [1 ]
Tang, Chun-Lei [1 ]
机构
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2020年 / 10卷 / 01期
关键词
Fractional Schrodinger equations; critical exponent; sign-changing weight function; symmetric Mountain Pass Theorem; CONCAVE-CONVEX NONLINEARITIES; SCHRODINGER-EQUATIONS; POSITIVE SOLUTIONS; MULTIPLICITY; EXISTENCE;
D O I
10.11948/20190017
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this work, we consider the fractional Schrodinger type equations with critical exponent, concave nonlinearity and sign-changing weight function on R-N. With the aid of the symmetric Mountain Pass Theorem, we prove this problem has infinitely many small energy solutions.
引用
收藏
页码:131 / 139
页数:9
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