Global \(W^{1,p}\) estimates for solutions to the linearized Monge-Ampère equations

DOI10.1007/s12220-016-9739-2zbMath1379.35155arXiv1602.02194OpenAlexW3161016998MaRDI QIDQ2411185

Nam Q. Le, Van Truyen Nguyen

Publication date: 20 October 2017

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.02194

zbMATH Keywords

gradient estimates\(W^{1,p}\) estimateslinearized Monge-Ampére equation

Mathematics Subject Classification ID

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

Related Items

Solvability of a class of singular fourth order equations of Monge-Ampère type ⋮ Interior estimates for the Monge-Ampère type fourth order equations ⋮ Twisted Harnack inequality and approximation of variational problems with a convexity constraint by singular Abreu equations ⋮ Global Hölder estimates for 2D linearized Monge-Ampère equations with right-hand side in divergence form ⋮ On singular Abreu equations in higher dimensions

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