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math.AP2024
Interior Harnack inequality and Hölder estimates for linearized Monge-Ampère equations in divergence form with drift
Young Ho Kim
In this paper, we study interior estimates for solutions to linearized Monge-Ampère equations in divergence form with drift terms and the right-hand side containing the divergence…
math.AP2024
On the One-dimensional Singular Abreu Equations
Young Ho Kim
Singular fourth-order Abreu equations have been used to approximate minimizers of convex functionals subject to a convexity constraint in dimensions higher than or equal to two. Fo…