Global \(W^{2,p}\) estimates for solutions to the linearized Monge-Ampère equations

DOI10.1007/s00208-013-0974-6zbMath1291.35093arXiv1209.1998OpenAlexW2005608193MaRDI QIDQ2448325

Nam Q. Le, Van Truyen Nguyen

Publication date: 30 April 2014

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.1998

zbMATH Keywords

Monge-Ampère equationsglobal \(W^{2,p}\) estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) A priori estimates in context of PDEs (35B45) Monge-Ampère equations (35J96)

Related Items (6)

Global \(W^{2,p}\) regularity on the linearized Monge-Ampère equation with \(\text{VMO}\) Type coefficients ⋮ Harnack inequality for the fractional nonlocal linearized Monge-Ampère equation ⋮ Global \(W^{1,p}\) estimates for solutions to the linearized Monge-Ampère equations ⋮ On boundary Hölder gradient estimates for solutions to the linearized Monge-Ampère equations ⋮ Global \(C^{1+\alpha,\frac{1+\alpha}{2}}\) regularity on the linearized parabolic Monge-Ampère equation ⋮ Boundary Harnack inequality for the linearized Monge-Ampère equations and applications

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