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

Abstract

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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Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS no. 456, edition 1, pages 457 - 475,
ISSN: 0022-247X
Language:
English
Publication year:
2017
Bibliographic description:
Chmara M., Maksymiuk J.: Anisotropic Orlicz–Sobolev spaces of vector valued functions and Lagrange equations// JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. -Vol. 456, iss. 1 (2017), s.457-475
DOI:
Digital Object Identifier (open in new tab) 10.1016/j.jmaa.2017.07.032
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