文献类型：期刊文献

英文题名：A logarithmic Schrodinger equation with asymptotic conditions on the potential

作者：Ji, Chao[1];Szulkin, Andrzej[2]

机构：[1]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]Stockholm Univ, Dept Math, S-10691 Stockholm, Sweden

年份：2016

卷号：437

期号：1

起止页码：241

外文期刊名：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000369676700013)】；

基金：The first author was supported by the China Scholarship Council and NSFC (Grant No. 11301181) and the Fundamental Research Funds for the Central Universities. This work was carried out when the first author visited Stockholm University. He is very grateful to the members of the Department of Mathematics for their warm hospitality.

语种：英文

外文关键词：Logarithmic Schrhdinger equation; Sign-changing potential; Fountain theorem; Multiplicity of solutions; Ground state solution; Nonsmooth critical point theory

摘要：In this paper we consider a class of logarithmic Schrodinger equations with a potential which may change sign. When the potential is coercive, we obtain infinitely many solutions by adapting some arguments of the Fountain theorem, and in the case of bounded potential we obtain a ground state solution, i.e. a nontrivial solution with least possible energy. The functional corresponding to the problem is the sum of a smooth and a convex lower semicontinuous term. (C) 2015 Elsevier Inc. All rights reserved.