Homogenisation of nonlinear Dirichlet problems in randomly perforated domains under minimal assumptions on the size of perforations

2023/07/21 by Lucia Scardia, Scardia, Lucia, Konstantinos Zemas +3 · 2 citations
Computer Science · Mathematics · #35B27 #49J45 #49J55 #60F15 #60G10 #60G55 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2307.11605

openalex publication_date 2023/07/21 · openalex created_date 2023/07/25 · openalex updated_date 2026/08/01

Abstract

In this paper we study the convergence of integral functionals with q-growth in a randomly perforated domain of \mathbb Rⁿ, with 1

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• Homogenization of the random Neumann sieve problem under minimal assumptions on the size of the perforations
• A not-so-strange term coming from somewhere

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