Quasilinear divergence form elliptic equations in rough domains

DOI10.1080/17476930903276159zbMath1190.35220OpenAlexW2141633665MaRDI QIDQ3562366

Dian K. Palagachev

Publication date: 21 May 2010

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930903276159

zbMATH Keywords

a priori estimatesweak solvabilityBMOHölder regularityReifenberg flat domaindivergence form quasilinear elliptic equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05) Weak solutions to PDEs (35D30) Quasilinear elliptic equations (35J62)

Related Items (3)

\(L ^{p }\)-regularity for fourth order parabolic systems with measurable coefficients ⋮ Weighted \(L^p\)-estimates for elliptic equations with measurable coefficients in nonsmooth domains ⋮ Global Regularity of Weak Solutions to Quasilinear Elliptic and Parabolic Equations with Controlled Growth

Cites Work

• Solution of the Plateau problem for \(m\)-dimensional surfaces of varying topological type
• Applications of the differential calculus to nonlinear elliptic operators with discontinuous coefficients
• Elliptic equations with BMO coefficients in Reifenberg domains
• Quasilinear Elliptic Equations with VMO Coefficients

This page was built for publication: Quasilinear divergence form elliptic equations in rough domains