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math.AP2026
A Green's function approach to linearized Monge-Ampère equations in divergence form and application to singular Abreu type equations
Chong Gu, Nam Q. Le
In this paper, we establish local and global regularity estimates for linearized Monge-Ampère equations in divergence form via critical Lorentz space estimates for the Green's fun…
math.AP2025
Convergence of an iterative scheme for the Monge-Ampère eigenvalue problem with general initial data
Nam Q. Le
In this note, we revisit an iterative scheme, due to Abedin and Kitagawa (Inverse Iteration for the Monge-Ampère Eigenvalue Problem, Proc. Amer. Math. Soc. 148 (2020), no. 11, 487…