# One Generalized Critical Point Theorem and its Applications on Super-quadratic Hamiltonian Systems

@article{Xing2016OneGC,
title={One Generalized Critical Point Theorem and its Applications on Super-quadratic Hamiltonian Systems},
author={Qin Xing and Fei Guo and Xiaofei Zhang},
journal={Taiwanese Journal of Mathematics},
year={2016},
volume={20},
pages={1093-1116}
}
• Published 30 September 2016
• Mathematics
• Taiwanese Journal of Mathematics
In this paper, we prove a generalized critical point theorem under the condition (C), which is weaker than the (PS) condition. As its applications, we obtain the existence of the solutions for the Hamiltonian systems with a new super-quadratic conditions generalizing one in papers [2] and [12].
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