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math.CV2025
A priori estimates for the complex Monge-Ampère equation after Krylov
SÅawomir Dinew, Marcin Sroka
We establish an analytic proof for the Krylov estimates for solutions of degenerate complex Monge-Ampère equation. We also provide an analytic proof of the Bedford-Taylo…
math.CV2024
Regularity of geodesics in the spaces of convex and plurisubharmonic functions II
Soufian Abja, Slawomir Dinew
In this note we continue our investigation of geodesics in the space of convex and plurisubharmonic functions. We show optimal regularity for geodesics joining two smooth strictly…