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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
-
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
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