文献类型：期刊文献

英文题名：Multi-bump positive solutions for a logarithmic Schrodinger equation with deepening potential well

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：2022

卷号：65

期号：8

起止页码：1577

外文期刊名：SCIENCE CHINA-MATHEMATICS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000629095900001)】；

基金：The first author was supported by Conselho Nacional de Desenvolvimento Cientifico e Tecnologico-CNPq/Brazil (Grant No. 304804/2017-7). The second author was supported by Natural Science Foundation of Shanghai (Grant Nos. 20ZR1413900 and 18ZR1409100). The authors thank the referees for many helpful comments which clarify the paper.

语种：英文

外文关键词：variational methods; logarithmic Schrodinger equation; multi-bump solutions; deepening potential well

摘要：This article concerns the existence of multi-bump positive solutions for the following logarithmic Schrodinger equation: {-Delta u + lambda V(x)u = u log u(2) in R-N, u is an element of H-1 (R-N), where N >= 1, lambda > 0 is a parameter and the nonnegative continuous function V : R-N -> R has potential well Omega := int V-1 (0) which possesses k disjoint bounded components Omega = U-j=1(k) Omega(j). Using the variational methods, we prove that if the parameter lambda > 0 is large enough, then the equation has at least 2(k) - 1 multi-bump positive solutions.