Clarke duality for Hamiltonian systems with nonstandard growth

S Acinas; Jakub Maksymiuk; F Mazzone

doi:10.1016/j.na.2019.05.017

Clarke duality for Hamiltonian systems with nonstandard growth

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 CG 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.

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Authors (3)

S Acinas
- Universidad Nacional de La Pampa
Jakub Maksymiuk dr inż.
F Mazzone
- Universidad Nacional de Río Cuarto

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Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS no. 188, pages 1 - 21,
ISSN: 0362-546X
Language:: English
Publication year:: 2019
Bibliographic description:: Acinas S., Maksymiuk J., Mazzone F.: Clarke duality for Hamiltonian systems with nonstandard growth// NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. -Vol. 188, (2019), s.1-21
DOI:: Digital Object Identifier (open in new tab) 10.1016/j.na.2019.05.017
Verified by:: Gdańsk University of Technology