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• Clarke duality for Hamiltonian systems with nonstandard growth

  Publikacja

  • S. Acinas
  • J. Maksymiuk
  • F. Mazzone

  - NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS - Rok 2019

  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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