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