Anisotropic Orlicz-Sobolev spaces of vector valued functions and Lagrange equations

Abstract

In this paper we study some properties of anisotropic Orlicz and anisotropic Orlicz-Sobolev spaces of vector valued functions for a special class of G-functions. We introduce a variational setting for a class of Lagrangian Systems. We give conditions which ensure that the principal part of variational functional is finitely defined and continuously differentiable on Orlicz-Sobolev space.

Cited by in corpus (3)

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• Multiscale homogenization of integral convex functionals in Orlicz Sobolev setting
• Existence of two periodic solutions to general anisotropic Euler-Lagrange equations