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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
- Verified by:
- Gdańsk University of Technology
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