Periodic solutions of a non coercive Hamiltonian system.
M. Timoumi, A. Trad (1995)
Collectanea Mathematica
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M. Timoumi, A. Trad (1995)
Collectanea Mathematica
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Yiming Long (1990)
Mathematische Zeitschrift
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Klaus Thews (1980/81)
Manuscripta mathematica
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Xingyong Zhang, Xianhua Tang (2010)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – 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.
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.
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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Thomas Bartsch, Michel Willem (1994)
Journal für die reine und angewandte Mathematik
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A. Katok, D. Bernstein (1987)
Inventiones mathematicae
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Mei-Yue Jiang (1994)
Manuscripta mathematica
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Herbert Amann, Eduard Zehnder (1980)
Manuscripta mathematica
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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.