3 papers
math.AP2026
Interior estimates for the linearized Monge--Ampère equation in two dimensions
Ling Wang, Bin Zhou
We prove an interior estimate for solutions of the homogeneous linearized Monge--Ampère equation in dimension two under the assumption \[ 0<λ\leq \det D^2φ\leqΛ<+\infty.…
math.AP2025
Local potential and Hölder estimates for the linearized Monge-Ampère equation
Guoqing Cui, Ling Wang, Bin Zhou
In this paper, we establish local potential estimates and Hölder estimates for solutions of linearized Monge-Ampère equations with the right-hand side being a signed measure, under…
math.AP2024
regularity of variational problems with a convexity constraint
Ling Wang, Bin Zhou
In this paper, we establish the interior regularity of minimizers of a class of functionals with a convexity constraint, which includes the principal-agent problems studi…