Electron. J. Diff. Equ., Vol. 2013 (2013), No. 166, pp. 1-7.

Existence and multiplicity of solutions for semilinear differential equations with subquadratic potentials

Chengyue Li, Mengmeng Wang, Zhiwei Xiao

Abstract:
Existence and multiplicity of nontrivial solutions of a class of semilinear differential equations with subquadratic potentials are studied using Clark's theorem. As an application of the above results, periodic solutions for a second Hamiltonian systems are studied.

Submitted April 2, 2013. Published July 21, 2013.
Math Subject Classifications: 58E05, 34C37, 70H05.
Key Words: Subquadratic potentials; Clark theorem; critical points; Hamiltonian systems.

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Chengyue Li
Department of Mathematics, Minzu University of China
Beijing 100081, China
email: cunlcy@163.com
Mengmeng Wang
Department of Mathematics, Minzu University of China
Beijing 100081, China
email: wang-meng-1989@163.com
Zhiwei Xiao
Department of Mathematics, Minzu University of China
Beijing 100081, China
email: paopao_0811@126.com

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