2024
DOI: 10.1007/s00440-024-01320-1
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Homogenisation of nonlinear Dirichlet problems in randomly perforated domains under minimal assumptions on the size of perforations

Lucia Scardia,
Konstantinos Zemas,
Caterina Ida Zeppieri

Abstract: In this paper we study the convergence of nonlinear Dirichlet problems for systems of variational elliptic PDEs defined on randomly perforated domains of $$\mathbb {R}^n$$ R n . Under the assumption that the perforations are small balls whose centres and radii are generated by a stationary short-range marked point process, we obtain in the critical-scaling limit an averaged nonlinear anal… Show more

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