文献类型：期刊文献

英文题名：Multiple positive solutions for a Schr?dinger logarithmic equation

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：20200115308)

语种：英文

摘要：This article concerns with the existence of multiple positive solutions for the following logarithmic Schr?dinger equation { -?2Δu + V (x)u = u log u2, in RN, u ? H1(RN), where ? > 0, N ≥ 1 and V is a continuous function with a global minimum. Using variational method, we prove that for small enough ? > 0, the "shape" of the graph of the function V affects the number of nontrivial solutions. Copyright ? 2019, The Authors. All rights reserved.