Multiscale homogenization of integral convex functionals in Orlicz Sobolev setting

2019/10/13 by Joel Fotso Tachago, Giuliano Gargiulo, Tachago, Joel Fotso +5 · 1 citation
Computer Science · Engineering · Mathematics · #49J45 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Composite Material Mechanics #FOS: Mathematics #Nonlinear Partial Differential Equations #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.1910.05778

openalex publication_date 2019/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Γ-limit of a family of functionals u↦ ∫_Ωf( (x)/(ε ),\fracxε ²,D^su) dx is obtained for s=1,2 and when the integrand f=f( y,z,v) is a continous function, periodic in y and z and convex with respect to v with nonstandard growth. The reiterated two-scale limits of second order derivative are characterized in this setting.

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• Reiterated Σ-Convergence In Orlicz Setting and Applications

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