Homogenization of a boundary-value problem in a domain perforated by cavities of arbitrary shape with a general nonlinear boundary condition on their boundaries: the case of critical values of the parameters

DOI10.1007/s10958-019-04616-zzbMath1435.35040OpenAlexW2989875570WikidataQ126652024 ScholiaQ126652024MaRDI QIDQ2307730

M. N. Zubova, Tatiana A. Shaposhnikova

Publication date: 25 March 2020

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-019-04616-z

zbMATH Keywords

periodically perforated domainnonlinear Robin condition

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (6)

On the homogenization of an optimal control problem in a domain perforated by holes of critical size and arbitrary shape ⋮ Simulation of filtration processes for inhomogeneous media and homogenization ⋮ Unnamed Item ⋮ Appearance of a nonlocal monotone operator in transmission conditions when homogenizing the Poisson equation in a domain perforated along an \((n - 1)\)-dimensional manifold by sets of arbitrary shape and critical size with nonlinear dynamic boundary conditions on the boundary of perforations ⋮ Unnamed Item ⋮ Homogenization of a parabolic equation for \(p\)-Laplace operator in a domain perforated along \((n-1)\)-dimensional manifold with dynamical boundary condition specified on perforations boundary: critical case

Cites Work

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