A localization property at the boundary for the Monge-Ampere equation

zbMath1317.35100arXiv1010.1745MaRDI QIDQ5265952

Ovidiu V. Savin

Publication date: 29 July 2015

Full work available at URL: https://arxiv.org/abs/1010.1745

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Monge-Ampère equations (35J96)

Related Items (11)

The Monge–Ampère equation and its link to optimal transportation ⋮ Global \(W^{1,p}\) estimates for solutions to the linearized Monge-Ampère equations ⋮ Twisted Harnack inequality and approximation of variational problems with a convexity constraint by singular Abreu equations ⋮ \(W^{2,1}\) regularity for solutions of the Monge-Ampère equation ⋮ Boundary regularity for solutions to the linearized Monge-Ampère equations ⋮ Global bifurcation and convex solutions for the Monge-Ampère equation ⋮ Global \(W^{2,p}\) estimates for solutions to the linearized Monge-Ampère equations ⋮ Pointwise 𝐶^{2,𝛼} estimates at the boundary for the Monge-Ampère equation ⋮ On boundary Hölder gradient estimates for solutions to the linearized Monge-Ampère equations ⋮ Global 𝑊^{2,𝑝} estimates for the Monge-Ampère equation ⋮ Boundary Harnack inequality for the linearized Monge-Ampère equations and applications

This page was built for publication: A localization property at the boundary for the Monge-Ampere equation