Subharmonics of convex non-coercive Hamiltonian systems.
Mohsen Timoumi (1992)
Collectanea Mathematica
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Mohsen Timoumi (1992)
Collectanea Mathematica
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H. Beirão da Veiga (1990)
Rendiconti del Seminario Matematico della Università di Padova
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Xianling Fan (1991)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Yiming Long (1990)
Mathematische Zeitschrift
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Chengfu Che, Xiaoping Xue (2012)
Annales Polonici Mathematici
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Two theorems about the existence of periodic solutions with prescribed energy for second order Hamiltonian systems are obtained. One gives existence for almost all energies under very natural conditions. The other yields existence for all energies under a further condition.
Mario Girardi, Michele Matzeu (1990)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We prove some stability results for a certain class of periodic solutions of nonautonomous Hamiltonian systems in the case of Hamiltonian functions either with subquadratic growth or homogeneous with superquadratic growth. Thus we extend to the nonautonomous case some results recently established by the Authors for the autonomous case.
H. Hofer, I. Ekeland (1985)
Inventiones mathematicae
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Klaus Thews (1980/81)
Manuscripta mathematica
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A. Katok, D. Bernstein (1987)
Inventiones mathematicae
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Xianhua Tang, Xingyong Zhang (2010)
Annales UMCS, Mathematica
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In this paper, by using the least action principle, Sobolev's inequality and Wirtinger's inequality, some existence theorems are obtained for periodic solutions of second-order Hamiltonian systems with a p-Laplacian under subconvex condition, sublinear growth condition and linear growth condition. Our results generalize and improve those in the literature.