Homogenization of a quasilinear elliptic problem with nonlinear Robin boundary conditions

DOI10.1080/00036811.2011.619982zbMath1254.35017OpenAlexW1963914393WikidataQ58174638 ScholiaQ58174638MaRDI QIDQ2908188

Unnamed Author, Patrizia Donato

Publication date: 4 September 2012

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.619982

zbMATH Keywords

variational formulationperiodically perforated domainunique weak solutionunfolding operator

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Quasilinear elliptic equations (35J62) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (21)

Strong convergence of a linearization method for semi-linear elliptic equations with variable scaled production ⋮ Homogenization of quasilinear elliptic problems with nonlinear Robin conditions and \(L^1\) data ⋮ On critical parameters in homogenization of perforated domains by thin tubes with nonlinear flux and related spectral problems ⋮ Homogenization of a quasilinear elliptic problem in a two-component domain with \(L^1\) data ⋮ Boundary optimal control for antiplane contact problems with power-law friction ⋮ Homogenization of a quasilinear problem with semilinear terms in a two-component domain ⋮ A class of quasilinear and noncoercive elliptic problem in a two-component domain with \(L^1\) data ⋮ Some properties of an elliptic periodic problem with an interfacial resistance ⋮ Two-parameter homogenization for a nonlinear periodic Robin problem for the Poisson equation: a functional analytic approach ⋮ Homogenization of a class of singular elliptic problems in two-component domains ⋮ Homogenization of a nonlinear stochastic model with nonlinear random forces for chemical reactive flows in porous media ⋮ Homogenization of a class of singular elliptic problems in perforated domains ⋮ Homogenization of elliptic problems with quadratic growth and nonhomogenous Robin conditions in perforated domains ⋮ H-convergence of a class of quasilinear equations in perforated domains beyond periodic setting ⋮ Correcting Terms for Perforated Media by Thin Tubes with Nonlinear Flux and Large Adsorption Parameters ⋮ Existence, uniqueness and homogenization of nonlinear parabolic problems with dynamical boundary conditions in perforated media ⋮ Homogenization of diffusion problems with a nonlinear interfacial resistance ⋮ Model of stationary diffusion with absorption in domains with fine-grained random boundaries ⋮ Homogenization of optimal control problems in perforated domains via periodic unfolding method ⋮ Asymptotic Behaviour of the Energy Integral of a Two-Parameter Homogenization Problem with Nonlinear Periodic Robin Boundary Conditions ⋮ Homogenization of a quasilinear elliptic problem in domains with small holes

Cites Work

• Unnamed Item
• Unnamed Item
• Homogenization in open sets with holes
• Periodic unfolding and homogenization
• The Periodic Unfolding Method in Domains with Holes
• Un résultat d'homogénéisation pour une classe de problèmes de diffusion non linéaires stationnaires
• Homogénéisation d'une classe de problèmes non linéaires dans des domaines perforés
• The Periodic Unfolding Method in Homogenization
• Elliptic Equations: An Introductory Course

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