Periodic solutions for a class of autonomous hamiltonian systems
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H. Beirão da Veiga (1990)
Rendiconti del Seminario Matematico della Università di Padova
Qiongfen Zhang, X. H. Tang (2012)
Applications of Mathematics
By using the least action principle and minimax methods in critical point theory, some existence theorems for periodic solutions of second order Hamiltonian systems are obtained.
Xianhua Tang, Xingyong Zhang (2010)
Annales UMCS, Mathematica
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.
M. Timoumi, A. Trad (1995)
Collectanea Mathematica
Herbert Amann, Eduard Zehnder (1980)
Manuscripta mathematica
A. Bahri, P. H. Rabinowitz (1988/1989)
Séminaire Équations aux dérivées partielles (Polytechnique)
Antonio Ambrosetti, V. Coti Zelati (1989)
Mathematische Zeitschrift
Christov, Ognyan, Dragnev, Dragomir (1995)
Serdica Mathematical Journal
The present paper deals with the KAM-theory conditions for systems describing the motion of a particle in central field.
Pierre Moussa (1982)
Recherche Coopérative sur Programme n°25
Pierre Moussa (1983)
Annales de l'I.H.P. Physique théorique
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