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math.AP2024
Very weak solutions of quadratic Hessian equations
Sławomir Dinew, Szymon Myga
We extend the methods of Lewicka - Pakzad, Székelyhidi - Cao and Li - Qiu to study the notion of very weak solutions to the complex equation in domains in $\mathbb C^n,\ n\ge…
math.AP2019
Optimal transport on completely integrable toric manifolds
Szymon Myga
We show that existence and uniqueness of solutions to transported Monge-Ampere problem on complex compact toric manifold follows easily from the real theory of optimal transportati…