Global \(W^{1,p}\) estimates for elliptic systems in homogenization problems in Reifenberg domains

DOI10.1007/s10231-016-0553-zzbMath1354.35039OpenAlexW2464814094MaRDI QIDQ343505

Sun-Sig Byun, Yunsoo Jang

Publication date: 28 November 2016

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-016-0553-z

zbMATH Keywords

homogenizationelliptic systemBMO spaceReifenberg domain

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Boundary value problems for second-order elliptic systems (35J57)

Related Items (3)

Calderón-Zygmund estimate for homogenization of steady state Stokes systems in nonsmooth domains ⋮ Uniform estimates with data from generalized Lebesgue spaces in periodic structures ⋮ Uniform integrability in periodic homogenization of fully nonlinear elliptic equations

Cites Work

• Unnamed Item
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• Solution of the Plateau problem for \(m\)-dimensional surfaces of varying topological type
• Gradient estimates for elliptic systems in non-smooth domains
• Gradient estimates for elliptic systems with measurable coefficients in nonsmooth domains
• A geometric approach to the Calderón-Zygmund estimates
• The inhomogeneous Dirichlet problem in Lipschitz domains
• Elliptic equations with measurable coefficients in Reifenberg domains
• On the existence of certain singular integrals
• Elliptic equations with BMO coefficients in Reifenberg domains
• W$^{1,p}$ estimates for elliptic homogenization problems in nonsmooth domains
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Compactness methods in the theory of homogenization
• Functions of Vanishing Mean Oscillation
• Global integrability of the gradients of solutions to partial differential equations

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