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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:456

Article

Chmara, M.¹  Maksymiuk, J.¹ 

[1] Gdansk Univ Technol, Dept Tech Phys & Appl Math, Narutowicza 11-12, PL-80952 Gdansk, Poland

关键词: Anisotropic Orlicz space;    Anisotropic Orlicz-Sobolev space;    Lagrange equations;    Variational functional;   

DOI  :  10.1016/j.jmaa.2017.07.032

来源: Elsevier

【 摘 要 】

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. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free