Asymptotic behaviour of quasi-linear problems with neumann boundary conditions on perforated domains

DOI10.1080/00036819008839922zbMath0671.35016OpenAlexW2070085682WikidataQ58281605 ScholiaQ58281605MaRDI QIDQ3824744

Anneliese Defranceschi, Valeria Chiado' Piat

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/00036819008839922

zbMATH Keywords

Neumann boundary conditionscoercivenessmonotone operatorslimit behaviourgrowth conditionsG-convergenceperforated domainsquasi-linearuniform local extension property

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for nonlinear higher-order PDEs (35G30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (6)

A compactness result for elliptic equations with subquadratic growth in perforated domains ⋮ Homogenization in perforated domains beyond the periodic setting. ⋮ Homogenization of nonlinear degenerate non-monotone elliptic operators in domains perforated with tiny holes ⋮ \(\Sigma \)-convergence of nonlinear monotone operators in perforated domains with holes of small size. ⋮ Homogenization of a class of non-uniformly elliptic monotonic operators ⋮ Stability results for obstacle problems with measure data

Cites Work

• Homogenization of noncoercive functionals: Periodic materials with soft inclusions
• Homogenization in open sets with holes
• Asymptotic expansions in perforated media with a periodic structure
• Homogenization of eigenvalue problems in perforated domains
• Averaging of solutions and eigenvalues for boundary-value problems for elliptic equations in perforated domains
• THE ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF THE SECOND BOUNDARY VALUE PROBLEM UNDER FRAGMENTATION OF THE BOUNDARY OF THE DOMAIN
• Homogenization and Asymptotic Expansions for Solutions of the Elasticity System with Rapidly Oscillating Periodic Coefficients
• On the convergence of the minimum points of non equicoercive quadratic functionals

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