Continuity estimates for the gradient of solutions to the Monge-Ampère equation with nature boundary conditions
arXiv:2406.07883
Abstract
We study the first derivative estimates for solutions to Monge-Ampère equations in terms of modulus of continuity. As a result, we establish the optimal global log-Lipschitz continuity for the gradient of solutions to the Monge-Ampère equation with natural boundary conditions.
21 pages