Ziheng Zhang, Rong Yuan
This article concerns the existence of solutions for the fractional Hamiltonian system
where , is a symmetric and positive definite matrix. The novelty of this article is that if and the nonlinearity involves a combination of superquadratic and subquadratic terms, the Hamiltonian system possesses at least two nontrivial solutions.
Submitted November 11, 2015. Published January 27, 2016.
Math Subject Classifications: 34C37, 35A15, 35B38.
Key Words: Fractional Hamiltonian systems; critical point; variational methods; mountain pass theorem.
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| Ziheng Zhang |
Department of Mathematics
Tianjin Polytechnic University
Tianjin 300387, China
| Rong Yuan |
Department of Mathematical Sciences
Beijing Normal University
Beijing 100875, China
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