The Conormal Derivative Problem for Elliptic Equations with BMO Coefficients on Reifenberg flat domains

DOI10.1112/S0024611504014960zbMath1087.35028OpenAlexW2153798133MaRDI QIDQ4657741

Lihe Wang, Sun-Sig Byun

Publication date: 14 March 2005

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024611504014960

zbMATH Keywords

boundary value problemelliptic equationsReifenberg flat domainconormal derivative problem

Mathematics Subject Classification ID

Related Items (26)

Gradient estimates for nonlinear elliptic equations with vanishing Neumann data in quasiconvex domains ⋮ Conormal derivative problems for stationary Stokes system in Sobolev spaces ⋮ Global gradient estimates for Dirichlet problems of elliptic operators with a BMO antisymmetric part ⋮ Global regularity estimates for Neumann problems of elliptic operators with coefficients having a BMO anti-symmetric part in NTA domains ⋮ \(W^{1,p}\) estimates for nonlinear Schrödinger equations with partially BMO coefficients in Reifenberg domains ⋮ Homogenization of the conormal derivative problem for elliptic systems in Reifenberg domains ⋮ Applications of the differential calculus to nonlinear elliptic operators with discontinuous coefficients ⋮ Elliptic equations with measurable coefficients in Reifenberg domains ⋮ Explicit estimates for solutions of mixed elliptic problems ⋮ The conormal and Robin boundary value problems in nonsmooth domains satisfying a measure condition ⋮ Homogenization of elliptic problems with Neumann boundary conditions in non-smooth domains ⋮ \(W^{1,p}\)-estimates for elliptic equations with lower order terms ⋮ Boundary estimates in elliptic homogenization ⋮ \(L^q\) interior estimates of the gradient for weak solutions of quasilinear elliptic equations ⋮ Parabolic equations with BMO coefficients in Lipschitz domains ⋮ \(L^p\) estimates for parabolic equations in Reifenberg domains ⋮ Elliptic equations in divergence form with partially BMO coefficients ⋮ Parabolic equations in Reifenberg domains ⋮ Weighted gradient estimates for elliptic problems with Neumann boundary conditions in Lipschitz and (semi-)convex domains ⋮ Weighted global regularity estimates for elliptic problems with Robin boundary conditions in Lipschitz domains ⋮ Optimal regularity for a Dirichlet-conormal problem in Reifenberg flat domain ⋮ Higher integrability result for nonlinear elliptic systems with conormal boundary conditions ⋮ \(W^{1,p}\) estimates for elliptic problems with Neumann boundary conditions in Lipschitz domains ⋮ Gradient estimates for weak solutions of linear elliptic systems with singular-degenerate coefficients ⋮ About conormal and oblique derivative problems ⋮ Homogenization of Nondilute Suspension of Viscous Fluid with Magnetic Particles

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