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

In this paper we study some properties of anisotropic Orlicz and 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.

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DOI
Digital Object Identifier link open in new tab 10.1016/j.jmaa.2017.07.032
Category
Publikacja w czasopiśmie
Type
artykuł w czasopiśmie wyróżnionym w JCR
Language
angielski
Publication year
2017

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