Global Hölder estimates for 2D linearized Monge-Ampère equations with right-hand side in divergence form

DOI10.1016/j.jmaa.2020.123865zbMath1437.35421arXiv1902.08113OpenAlexW2999967534MaRDI QIDQ2304314

Nam Q. Le

Publication date: 9 March 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.08113

zbMATH Keywords

Green's functionlinearized Monge-Ampère equationglobal Hölder estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Monge-Ampère equations (35J96) Manifolds and measure-geometric topics (49Qxx)

Related Items (6)

Solvability of a class of singular fourth order equations of Monge-Ampère type ⋮ The HcscK equations in symplectic coordinates ⋮ On symmetry reduction and some classes of invariant solutions of the (1+3)-dimensional homogeneous Monge-Ampère equation ⋮ On the classification of symmetry reductions for the \((1+3)\)-dimensional Monge-Ampère equation ⋮ On singular Abreu equations in higher dimensions ⋮ Reduction of the \((1 + 3)\)-dimensional inhomogeneous Monge-Ampère equation to first-order partial differential equations

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