(Two-scale) W1LΦ-gradient Young measures and homogenization of integral functionals in Orlicz-Sobolev spaces

被引：0

作者：

Tachago, Joel Fotso ^{[1
]}

Nnang, Hubert ^{[2
]}

Tchinda, Franck ^{[3
]}

Zappale, Elvira ^{[4
]}

机构：

[1] Univ Bamenda, Higher Teachers Training Coll, Dept Math, POB 39, Bambili, Cameroon

[2] Univ Yaounde I, Higher Teachers Training Coll, Dept Math, POB 47, Yaounde, Cameroon

[3] Univ Maroua, Dept Math & Comp Sci, POB 814, Maroua, Cameroon

[4] Sapienza Univ Rome, Dept Basic & Appl Sci Engn, Via A Scarpa 16, I-00161 Rome, SA, Italy

来源：

JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS | 2024年 / 10卷 / 02期

关键词：

Gradient Young measures; Homogenization; Orlicz-Sobolev spaces; Gamma-Convergence; Two-scale convergence; CONVEX; CONVERGENCE;

D O I：

10.1007/s41808-024-00294-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

(Two-scale) gradient Young measures in Orlicz-Sobolev setting are introduced and characterized providing also an integral representation formula for non convex energies arising in homogenization problems with nonstandard growth.

引用

页码：1275 / 1299

页数：25

共 3 条

[1] (Two-scale) W1LΦ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$W^{1}L^{\Phi }$$\end{document}-gradient Young measures and homogenization of integral functionals in Orlicz–Sobolev spaces
Joel Fotso Tachago
Hubert Nnang
Franck Tchinda
Elvira Zappale
Journal of Elliptic and Parabolic Equations, 2024, 10 (2) : 1275 - 1299
[2] Characterization of two-scale gradient young measures and application to homogenization
Babadjian, Jean-Francois
Baia, Margarida
Santos, Pedro M.
APPLIED MATHEMATICS AND OPTIMIZATION, 2008, 57 (01) : 69 - 97
[3] Characterization of Two-Scale Gradient Young Measures and Application to Homogenization
Jean-François Babadjian
Margarida Baía
Pedro M. Santos
Applied Mathematics and Optimization, 2008, 57 : 69 - 97

← 1 →