Existence and concentration of positive solutions for a logarithmic Schrodinger equation via penalizationmethod

被引：45
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
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2020年 / 59卷 / 01期
关键词：
BOUND-STATES; PRINCIPLE;
D O I：
10.1007/s00526-019-1674-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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页数：27
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