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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, und…
math.AP2024
Singular Abreu equations and linearized Monge-Ampère equations with drifts
Young Ho Kim, Nam Q. Le, Ling Wang +1
We study the solvability of singular Abreu equations which arise in the approximation of convex functionals subject to a convexity constraint. Previous works established the solvab…
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 stud…