Szymon Pliś

activity

20122018

(p, p)

-forms

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.AP2018

Regularity of Degenerate Hessian Equation

Slawomir Dinew, Szymon Plis, Xiangwen Zhang

We show a second order a priori estimate for solutions to the complex $k$ -Hessian equation on a compact Kähler manifold provided the $(k$ - $1)$ -st root of the right hand side is $\m…

math.CV2017

An analytic proof of the Krylov estimates for the complex Monge-Ampere equation and applications

Slawomir Dinew, Szymon Plis

We provide an analytic proof of a theorem of Krylov dealing with global $C^{1, 1}$ estimates to solutons of degenerate complex Monge-Ampère equations. As an application we show opti…

math.CV2012★ 1 cited

Squares of positive $(p, p)$ -forms

Zbigniew Blocki, Szymon Plis

We show that if $α$ is a positive $(2, 2)$ -form then so is $α^{2}$ . We also prove that this is no longer true for forms of higher degree.

Regularity of Degenerate Hessian Equation

An analytic proof of the Krylov estimates for the complex Monge-Ampere equation and applications

Squares of positive (p,p)-forms

Squares of positive $(p, p)$ -forms