Marcin Sroka

collaborators

3 papers

math.AP2026

On Liouville's theorem for the Hessian quotient equation $σ_{2} / σ_{1}$

Siyuan Lu, Marcin Sroka

We prove Liouville's theorem for semi-convex entire solutions to Hessian quotient equation $σ_{2} / σ_{1} = 1$ in $R^{n}$ . The proof is based on the observation that after rewriting…

math.CV2025

A priori estimates for the complex Monge-Ampère equation after Krylov

Sławomir Dinew, Marcin Sroka

We establish an analytic proof for the Krylov $C^{1, 1}$ estimates for solutions of degenerate complex Monge-Ampère equation. We also provide an analytic proof of the Bedford-Taylor…

math.DG2025

Remarks on Hessian quotient equations on Riemannian manifolds

Marcin Sroka

We consider Hessian quotient equations in Riemannian setting related to a problem posed by Delanoë and Urbas. We prove unobstructed second order a priori estimate for the real Hess…

On Liouville's theorem for the Hessian quotient equation σ2​/σ1​

A priori estimates for the complex Monge-Ampère equation after Krylov

Remarks on Hessian quotient equations on Riemannian manifolds

On Liouville's theorem for the Hessian quotient equation $σ_{2} / σ_{1}$