Periodic orbits of certain Hénon-like maps
Michal Fečkan (1993)
Mathematica Slovaca
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Michal Fečkan (1993)
Mathematica Slovaca
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Mario Girardi, Michele Matzeu (1993)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Some existence and multiplicity results for periodic solutions of second order nonautonomous systems with the potentials changing sign are presented. The proofs of the existence results rely on the use of a linking theorem and the Mountain Pass theorem by Ambrosetti and Rabinowitz [2]. The multiplicity results are deduced by the study of constrained critical points of minimum or Mountain Pass type.
Vieri Benci, Alberto Abbondandolo (1996)
Banach Center Publications
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A. Bahri, P. H. Rabinowitz (1988-1989)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Kerman, Ely (2005)
Geometry & Topology
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Kaloshin, Vadim Yu. (1999)
Annals of Mathematics. Second Series
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Thomas Bartsch (1997)
Annales de l'I.H.P. Analyse non linéaire
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L. Sánchez (1994)
Revista Matemática de la Universidad Complutense de Madrid
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We obtain non-constant periodic solutions for a class of second-order autonomous dynamic systems whose potential is subquadratic at infinity. We give a theorem on conjugate points for convex potentials.