Asymptotic Behavior of Nonlinear Elliptic Systems on Varying Domains

DOI10.1137/S0036141097329627zbMath0952.35036MaRDI QIDQ4943695

Adriana Garroni, Juan Casado-Díaz

Publication date: 19 March 2000

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

homogenizationperforated domainsDirichlet systems

Mathematics Subject Classification ID

Related Items (21)

Homogenization of nonlinear Dirichlet problems in random perforated domains ⋮ A capacity method for the study of Dirichlet problems for elliptic systems in varying domains ⋮ A capacitary method for the asymptotic analysis of Dirichlet problems for monotone operators ⋮ Homogenization of general quasi-linear Dirichlet problems with quadratic growth in perforated domains ⋮ Explicit formulas for homogenization limits in certain non‐periodic problems including ramified domains ⋮ Asymptotic analysis of periodically-perforated nonlinear media. ⋮ The limit of Dirichlet systems for variable monotone operators in general perforated domains. ⋮ Homogenization of the Poisson equation with Dirichlet conditions in random perforated domains ⋮ Homogenization of Dirichlet parabolic problems for coefficients and open sets simultaneously variable and applications to optimal design ⋮ Weak semi-continuity of the duality product in Sobolev spaces ⋮ A notion of capacity related to elasticity: applications to homogenization ⋮ Asymptotic behaviour of linear Dirichlet parabolic problems with variable operators depending on time in varying domains ⋮ Asymptotic behavior of nonlinear systems in varying domains with boundary conditions on varying sets ⋮ Homogenization of nonlinear parabolic problems with varying boundary conditions on varying sets ⋮ Compactness of sequences of two-dimensional energies with a zero-order term. Application to three-dimensional nonlocal effects ⋮ On the Existence of Optimal Potentials on Unbounded Domains ⋮ A justification of the Darcy law for a suspension of not self-similar solid particles non-periodically distributed ⋮ FRACTURE MECHANICS IN PERFORATED DOMAINS: A VARIATIONAL MODEL FOR BRITTLE POROUS MEDIA ⋮ Asymptotic behaviour of nonlinear Dirichlet problems in perforated domains ⋮ ASYMPTOTIC ANALYSIS OF PERIODICALLY-PERFORATED NONLINEAR MEDIA AT THE CRITICAL EXPONENT ⋮ Unnamed Item

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