文献类型：期刊文献

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

作者：Ji, Chao[1]

机构：[1] Department of Mathematics, East China University of Science and Technology, Shanghai, 200237, China

年份：2021

卷号：72

期号：2

外文期刊名：Zeitschrift fur Angewandte Mathematik und Physik

收录：EI(收录号：20212110407788)

语种：英文

摘要：In this paper, we are concerned with the existence and multiplicity of multi-bump type nodal solutions for the following logarithmic Schr?dinger equation {-Δu+λV(x)u=ulogu2,inRN,u∈H1(RN),where N≥ 1 , λ> 0 is a real parameter and the nonnegative continuous function V: RN→ R has a potential well Ω:=intV-1(0) which possesses k disjoint bounded components Ω=?j=1kΩj. Using the variational methods, we prove that if the parameter λ> 0 is large enough, then the equation has at least 2 k- 1 multi-bump type nodal solutions. ? 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.