文献类型：期刊文献

英文题名：Existence and concentration of ground state solutions for a class of fractional Schr?dinger equations

作者：Chen, Zhuo[1]; Ji, Chao[1]

机构：[1] Department of Mathematics, East China University of Science and Technology, Shanghai, 200237, China

年份：2022

卷号：126

期号：3-4

起止页码：229

外文期刊名：Asymptotic Analysis

收录：EI(收录号：20220411518123)

语种：英文

外文关键词：Equations of state

摘要：In this paper, by using variational methods, we study the existence and concentration of ground state solutions for the following fractional Schr?dinger equation ( - Δ ) α u + V ( x ) u = A ( ? x ) f ( u ) , x ∈ R N , where α ∈ ( 0 , 1 ), ? is a positive parameter, N > 2 α, ( - Δ ) α stands for the fractional Laplacian, f is a continuous function with subcritical growth, V ∈ C ( R N , R ) is a Z N -periodic function and A ∈ C ( R N , R ) satisfies some appropriate assumptions. ? 2022 - IOS Press. All rights reserved.