A logarithmic Schrodinger equation with asymptotic conditions on the potential

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:437

Article

Ji, Chao¹  Szulkin, Andrzej² 

[1] E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

[2] Stockholm Univ, Dept Math, S-10691 Stockholm, Sweden

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

DOI  :  10.1016/j.jmaa.2015.11.071

来源: Elsevier

【 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.

【 授权许可】

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