Global weighted W2,p estimates for nondivergence elliptic equations with small BMO coefficients

DOI10.1142/S0129167X15500895zbMath1336.35131MaRDI QIDQ3462607

Feng-Ping Yao

Publication date: 15 January 2016

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

maximal functiondiscontinuous coefficientsBMO spaceMuckenhoupt weightnondivergence elliptic equationweighted \(L^p\) space

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Boundary value problems for second-order elliptic equations (35J25) Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) PDEs with low regular coefficients and/or low regular data (35R05) Second-order elliptic equations (35J15)

Related Items (3)

Uniform estimates with data from generalized Lebesgue spaces in periodic structures ⋮ Generalized Orlicz-type slice spaces, extrapolation and applications ⋮ Weighted Hessian estimates in Orlicz spaces for nondivergence elliptic operators with certain potentials

Cites Work

• Unnamed Item
• Unnamed Item
• Global \(W^{2,p}\) estimates for nondivergence elliptic operators with potentials satisfying a reverse Hölder condition
• Universal potential estimates
• Weighted and regularity estimates for nonlinear equations on Reifenberg flat domains
• Global estimates for quasilinear elliptic equations on Reifenberg flat domains
• Gradient estimates for a class of parabolic systems
• Parabolic equations in time dependent Reifenberg domains
• Elliptic equations in divergence form with partially BMO coefficients
• A mostly elementary proof of Morrey space estimates for elliptic and parabolic equations with \(VMO\) coefficients.
• Global weighted estimates for the gradient of solutions to nonlinear elliptic equations
• \(W^{2, p}\)-a priori estimates for the emergent Poincaré problem
• On the existence of certain singular integrals
• Parabolic and Elliptic Equations with VMO Coefficients
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• W 2,p -Solvability of the Dirichlet Problem for Nondivergence Elliptic Equations with VMO Coefficients
• The regularity of general parabolic systems with degenerate diffusion
• On weighted W^2,p estimates for elliptic equations with BMO coefficients in nondivergence form
• Weighted W ^1,p estimates for solutions of non-linear parabolic equations over non-smooth domains

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