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arXiv · 1811.10662

Clarke duality for Hamiltonian systems with nonstandard growth

Sonia Acinas·Jakub Maksymiuk·Fernando Mazzone
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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 $C_G$ associated to symplectic G-function $G$. We discuss an optimality of this constant for some special cases. We also provide an applications to the $Φ$-laplacian type systems.

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Sonia Acinas, Jakub Maksymiuk, Fernando Mazzone. 2018-11-26. Clarke duality for Hamiltonian systems with nonstandard growth. https://arxiv.org/abs/1811.10662

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