{\Gamma}-convergence of nonconvex integrals in Cheeger-Sobolev spaces and homogenization
Omar Anza Hafsa, Jean-Philippe Mandallena
TL;DR
This paper investigates the { extGamma}-convergence of nonconvex variational integrals within Cheeger-Sobolev spaces, providing insights into relaxation and homogenization processes in this mathematical framework.
Contribution
It introduces the analysis of { extGamma}-convergence for nonconvex integrals in Cheeger-Sobolev spaces, extending variational methods to this setting.
Findings
Established { extGamma}-convergence results for nonconvex integrals
Applied results to relaxation in calculus of variations
Demonstrated homogenization techniques in Cheeger-Sobolev spaces
Abstract
We study {\Gamma}-convergence of nonconvex variational integrals of the calculus of variations in the setting of Cheeger-Sobolev spaces. Applications to relaxation and homogenization are given.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Composite Material Mechanics · Numerical methods in inverse problems