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Critical point theorem for asymptotically quadratic functional without compactness |
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| Authors: | Zhanping Liang Jiabao Su |
| Institution: | a School of Mathematical Sciences, Capital Normal University, Beijing 100037, People's Republic of China b School of Mathematical Sciences, Shanxi University, Taiyuan 030006, People's Republic of China |
| Abstract: | In this paper we build an abstract critical point theorem for the asymptotically quadratic functional without compactness. Application is devoted to the existence of nontrivial periodic solution of second order Hamiltonian systems. |
| Keywords: | Quadratic functional Critical group Critical point Morse theory |
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