Asymptotic behaviour of nonlinear elliptic higher order equations in perforated domains

DOI10.1007/BF02788237zbMath0989.35047MaRDI QIDQ5943742

Gianni Dal Maso, Igor V. Skrypnik

Publication date: 17 September 2001

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

strong convergencecorrectormethod of asymptotic expansions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for higher-order elliptic equations (35J40)

Related Items (6)

Homogenization of the evolutionary Navier-Stokes system ⋮ Spectral asymptotics for a singularly perturbed fourth order locally periodic elliptic operator ⋮ Bounded solutions of fourth-order nonlinear elliptic equations with convection terms ⋮ Degenerate nonlinear higher-order elliptic problems in domains with fine-grained boundary ⋮ Fourth-order nonlinear elliptic equations with lower order term and natural growth conditions ⋮ On Weighted Estimates of Solutions for Nonlinear Higher Order Elliptic Problems

Cites Work

• Variational inequalities for the biharmonic operator with variable obstacles
• Asymptotic behaviour of nonlinear Dirichlet problems in perforated domains
• Ulteriori proprieta di alcune classi di funzioni in piu variabili
• THE FIRST BOUNDARY VALUE PROBLEM IN DOMAINS WITH A COMPLICATED BOUNDARY FOR HIGHER ORDER EQUATIONS
• Homogenization of non-linear Dirichlet problems in perforated domains of general type
• THE METHOD OF ORTHOGONAL PROJECTIONS AND THE DIRICHLET PROBLEM IN DOMAINS WITH A FINE-GRAINED BOUNDARY
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