Sharp regularity results on second derivatives of solutions to the Monge-Ampère equation with VMO type data

DOI10.1002/cpa.20272zbMath1160.35025OpenAlexW2056516106MaRDI QIDQ3625733

Qingbo Huang

Publication date: 6 May 2009

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.20272

zbMATH Keywords

regularitya priori estimatesVMOMonge--Ampère equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)

Related Items (9)

Global \(W^{2,p}\) regularity on the linearized Monge-Ampère equation with \(\text{VMO}\) Type coefficients ⋮ On the Preservation of Eccentricities of Monge–Ampère Sections ⋮ Regularity results on the parabolic Monge-Ampère equation with \(VMO\) type data ⋮ Interior gradient estimates for solutions to the linearized Monge-Ampère equation ⋮ Global \(W^{2,p}\) estimates for solutions to the linearized Monge-Ampère equations ⋮ Monge-Ampère equation on exterior domains ⋮ The Monge-Ampère constraint: matching of isometries, density and regularity, and elastic theories of shallow shells ⋮ Interior \(C^{1,\alpha}\) regularity for the linearized Monge-Ampère equation with VMO type coefficients ⋮ Interior second derivative estimates for solutions to the linearized Monge-Ampère equation

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