The minimal periodic solutions for superquadratic autonomous Hamiltonian systems without the Palais-Smale condition
Autor: | Xiao, Yuming, Zhu, Gaosheng |
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Rok vydání: | 2023 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | In this paper, we prove the existence of periodic solutions with any prescribed minimal period $T>0$ for even second order Hamiltonian systems and convex first order Hamiltonian systems under the weak Nehari condition instead of Ambrosetti-Rabinowitz's. To this end, we shall develop the method of Nehari manifold to directly deal with a frequently occurring problem where the Nehari manifold is not a manifold. |
Databáze: | arXiv |
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