文献类型：期刊文献

英文题名：Existence of a positive solution for a logarithmic schr?dinger equation with saddle-like potential

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：20200162727)

语种：英文

摘要：In this article we use the variational method developed by Szulkin [21] to prove the existence of a positive solution for the following logarithmic Schr?dinger equation { ? u ? ∈2? H u1(+ R VN) (, x)u = u log u2, in RN, where ? > 0, N ≥ 1 and V is a saddle-like potential.35A15, 35J10, 35B09 Copyright ? 2019, The Authors. All rights reserved.