4 papers
Three Bernstein type theorems for hypersurfaces with zero Gaussian curvature
Slawomir Dinew, Mengru Guo, Heming Jiao
In this paper, we prove Bernstein type theorems for entire convex graphical hypersurfaces with zero Gaussian curvature in both Euclidean and Minkowski context. A supplementary exam…
-Pseudo-effectivity and a Monge-Ampère-Type Equation for Forms of Positive Degree
SÅawomir Dinew, Dan Popovici
Given an -dimensional compact Kähler manifold, we continue our study of -positivity in two ways. We first propose generalisations of the notions of pseudo-effective and big…
-Positivity and Regularisation
SÅawomir Dinew, Dan Popovici
Starting from the notion of -plurisubharmonic function introduced recently by Dieu and studied, in particular, by Harvey and Lawson, we consider -(semi-)positive -cu…
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…