期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 437, 期 1, 页码 241-254出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2015.11.071
关键词
Logarithmic Schrhdinger equation; Sign-changing potential; Fountain theorem; Multiplicity of solutions; Ground state solution; Nonsmooth critical point theory
资金
- China Scholarship Council
- NSFC [11301181]
- Fundamental Research Funds for the Central Universities
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.
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