Γ-convergence of nonconvex integrals in Cheeger--Sobolev spaces and homogenization-Reference-Cited by-同舟云学术

Γ-convergence of nonconvex integrals in Cheeger--Sobolev spaces and homogenization

Published:2017-10-01 Issue:4 Volume:10 Page:381-405
ISSN:1864-8266
Container-title:Advances in Calculus of Variations
language:
Short-container-title:

Author:

Anza Hafsa Omar¹,Mandallena Jean-Philippe¹

Affiliation:

1. Laboratoire MIPA, Université de Nîmes, Site des Carmes, Place Gabriel Péri, 30021Nîmes; and LMGC, UMR-CNRS 5508, Place Eugène Bataillon, 34095 Montpellier, France

Abstract

AbstractWe study Γ-convergence of nonconvex variational integrals of the calculus of variations in the setting of Cheeger–Sobolev spaces. Applications to relaxation and homogenization are given.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/acv-2015-0053/pdf

Reference94 articles.

1. Axiomatic theory of Sobolev spaces;Expo. Math.,2001

2. Homogenization of some almost periodic coercive functional;Rend. Accad. Naz. Sci. XL Mem. Mat. (5),1985

3. Sobolev spaces on metric-measure spaces;Heat Kernels and Analysis on Manifolds, Graphs, and Metric Spaces (Paris 2002),2003

4. Sobolev met Poincaré;Mem. Amer. Math. Soc.,2000

5. Variational integrals in metric measure spaces;Stud. Cercet. Ştiinţ. Ser. Mat. Univ. Bacău,2005

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Mass Optimization Problem with Convex Cost;SIAM Journal on Mathematical Analysis;2023-10-05

2. High Contrasting Diffusion in Heisenberg Group: Homogenization of Optimal Control via Unfolding;SIAM Journal on Control and Optimization;2023-06-08

3. A note on BV and 1-Sobolev functions on the weighted Euclidean space;Rendiconti Lincei - Matematica e Applicazioni;2023-02-03

4. Stochastic homogenization of nonconvex integrals in the space of functions of bounded deformation;Asymptotic Analysis;2023-01-11

5. $\Gamma$-Convergence for Functionals Depending on Vector Fields. II. Convergence of Minimizers;SIAM Journal on Mathematical Analysis;2022-11-01