文献类型：期刊文献

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

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

机构：[1]Univ Fed Campina Grande, Unidade Acad Matemat, BR-58429900 Campina Grande, PB, Brazil;[2]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2021

卷号：164

期号：3-4

起止页码：555

外文期刊名：MANUSCRIPTA MATHEMATICA

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000522182300001)】；

基金：C. O. Alves was partially supported by CNPq/Brazil 304804/2017-7. C. Ji was partially supported by Shanghai Natural Science Foundation (18ZR1409100).

语种：英文

摘要：In this article we use the variational method developed by Szulkin (Ann Inst H Poincare Anal Non Lineire 3:77-109, 1986) to prove the existence of a positive solution for the following logarithmic Schrodinger equation {- 2u + V( x)u = u log u2, in RN {u. H1(R-N), where > 0, N = 1 and V is a saddle-like potential.