Gluing approximate solutions of minimum type on the Nehari manifold.
Li, Yanyan, Wang, Zhi-Qiang (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Li, Yanyan, Wang, Zhi-Qiang (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Rabinowitz, Paul H. (1995)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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D. Arcoya (1989)
Extracta Mathematicae
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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.
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.
Rabinowitz, Paul H., Coti Zelati, Vittorio (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Najeh Kallel, Mohsen Timoumi (2004)
RAIRO - Operations Research - Recherche Opérationnelle
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In this paper we study the existence of subharmonic solutions of the hamiltonian system where is a linear map, is a -function and is a continuous function.
Addolorata Salvatore (1992)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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In this Note we prove the existence of infinitely many periodic solutions of prescribed period for a Hamiltonian system with a singular potential.