文献类型：期刊文献

英文题名：Existence and concentration of positive solutions for a logarithmic Schrodinger equation via penalizationmethod

作者：Alves, Claudianor O.[1];Ji, Chao[2]

机构：[1]Univ Fed Campina Grande, Unidade Acad Matemat, BR-58429900 Campina Grande, Paraiba, Brazil;[2]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2020

卷号：59

期号：1

外文期刊名：CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000518005500002)】；

基金：Claudianor O. Alves was partially supported by CNPq/Brazil 304804/2017-7. Chao Ji was partially supported by Shanghai Natural Science Foundation (18ZR1409100).

语种：英文

摘要：In this article we are concerned with the following logarithmic Schrodinger equation {-epsilon(2) Delta u + V(x)u = u log u(2,) in R-N, u is an element of H-1(R-N), where epsilon > 0, N >= 1 and V : R-N -> R is a continuous potential. Under a local assumption on the potential V, we use the variational methods to prove the existence and concentration of positive solutions for the above problem.