文献类型：期刊文献

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

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

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

年份：2019

外文期刊名：arXiv

收录：EI(收录号：20200162095)

语种：英文

摘要：This article concerns with the existence of multi-bump positive solutions for the following logarithmic Schr?dinger equation { u ?? ∈ u H +1(λV RN() x , )u = u log u2, in RN, where N ≥ 1, λ > 0 is a parameter and the nonnegative continuous function V: RN → R has a potential well Ω:= int V ?1(0) which possesses k disjoint bounded components Ω = Skj=1 Ωj. Using the variational methods, we prove that if the parameter λ > 0 is large enough, then the equation has at least 2k ? 1 multi-bump positive solutions.35A15, 35J10, 35B09 Copyright ? 2019, The Authors. All rights reserved.