文献类型：期刊文献

英文题名：MULTIPLE POSITIVE SOLUTIONS FOR A SCHRODINGER LOGARITHMIC EQUATION

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：40

期号：5

起止页码：2671

外文期刊名：DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000519529100006)】；

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

语种：英文

外文关键词：Variational method; logarithmic Schrodinger equation; positive solutions; multiple solutions

摘要：This article concerns with the existence of multiple positive solutions for 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 is a continuous function with a global minimum. Using variational method, we prove that for small enough epsilon > 0, the "shape" of the graph of the function V affects the number of nontrivial solutions.