3 papers
math.AP2026
Global Hölder estimates for linearized Monge-Ampère equations in divergence form with applications to dual semigeostrophic equations and periodic homogenization
Guoqing Cui, Chong Gu, Nam Q. Le +2
We establish interior and global Hölder estimates for linearized Monge-Ampère equations in divergence form in all dimensions , when the Hessian determinant of the convex M…
math.AP2026
Gradient potential estimates for linearized Monge-Ampère equations
Guoqing Cui
This paper establishes a pointwise gradient potential estimate for solutions to linearized Monge-Ampère equations and derives a modulus of continuity estimate for the gradient in t…
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…