Clarke duality for Hamiltonian systems with nonstandard growth. (November 2019)

• Record Type: Journal Article
• Authors: Acinas, S.; Maksymiuk, J.; Mazzone, F.
• Is Part Of: Nonlinear analysis. Volume 188(2019)
• Page Start: 1
• Page End: 21
• Publication Date: 2019-11
• Subjects: 34C25 -- 34B15; Periodic solutions -- Orlicz spaces -- Euler–Lagrange equation -- Critical points -- Clarke duality; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2019.05.017
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We consider the existence of periodic solutions to Hamiltonian systems with growth conditions involving G-function. We introduce the notion of symplectic G-function and provide relation for the growth of Hamiltonian in terms of certain constant C G associated to symplectic G-function G . We discuss an optimality of this constant for some special cases. We also provide applications to the Φ -laplacian type systems.