文献类型：期刊文献

中文题名：Multi-bump positive solutions for a logarithmic Schr?dinger equation with deepening potential well

作者：Claudianor O.Alves[1];Chao Ji[2]

机构：[1]Unidade Acadêmica de Matemática,Universidade Federal de Campina Grande,Campina Grande 58429-900,Brazil;[2]Department of Mathematics,East China University of Science and Technology,Shanghai 200237,China

年份：2022

卷号：65

期号：8

起止页码：1577

中文期刊名：Science China Mathematics

外文期刊名：中国科学：数学（英文版）

收录：CSTPCD;;Scopus;CSCD:【CSCD2021_2022】；PubMed;

基金：supported by Conselho Nacional de Desenvolvimento Científico e Tecnológico-CNPq/Brazil(Grant No.304804/2017-7);supported by Natural Science Foundation of Shanghai(Grant Nos.20ZR1413900 and 18ZR1409100)。

语种：英文

中文关键词：variational methods;logarithmic Schr?dinger equation;multi-bump solutions;deepening potential well

摘要：This article concerns the existence of multi-bump positive solutions for the following logarithmic Schr?dinger equation:{?Δu+λV(x)u=ulogu^(2)inRN,u∈H^(1)(R^(N)),where N≥1,?>0 is a parameter and the nonnegative continuous function V:?^(N)→?has potential wellΩ:=int V^(?1)(0)which possesses k disjoint bounded componentsΩ=∪^(k)_(j)=1Ω_(j).Using the variational methods,we prove that if the parameter?>0 is large enough,then the equation has at least 2^(k)?1 multi-bump positive solutions.