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math.CA2018
Clarke duality for Hamiltonian systems with nonstandard growth
Sonia Acinas, Jakub Maksymiuk, Fernando Mazzone
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 rel…
math.CA2017
Periodic solutions of Euler-Lagrange equations in an anisotropic Orlicz-Sobolev space setting
Fernando D. Mazzone, Sonia Acinas
In this paper we consider the problem of finding periodic solutions of certain Euler-Lagrange equations, which include, among others, equations involving the -Laplace and, more…