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Extension of the Best Polynomial Operator in Generalized Orlicz spaces
Sonia Acinas, Sergio Favier, Rosa Lorenzo
In this paper, we consider the best multivalued polynomial approximation operator for functions in an Orlicz Space . We obtain its characterization involving and $ψ^+…
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…
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…
Periodic solutions of Euler-Lagrange equations with sublinear pontentials in an Orlicz-Sobolev space setting
Sonia Acinas, Fernando Mazzone
In this paper, we obtain existence results of periodic solutions of hamiltonian systems in the Orlicz-Sobolev space . We employ the direct method of calculus of vari…