18 citations · 45 across the 6 of their papers we have counts for
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math.AP2026
Hessian operators, null Lagrangians and the integral comparison principle
Sławomir Dinew, Szymon Myga, Marcin Sroka
We investigate the conditions under which a Hessian operator satisfies the integral comparison principle. We establish a rather unexpected connection with the notion of a null Lagr…
math.AP2022★ 2 cited
Sharp uniform bound for the quaternionic Monge-Ampere equation on hyperhermitian manifolds
Marcin Sroka
We provide the sharp estimate for the quaternionic Monge-Ampere equation on any hyperhermitian manifold. This improves previously known results concerning this estimate in tw…
math.AP2019★ 18 cited
The estimate for the quaternionic Calabi conjecture
Marcin Sroka
We prove the estimate for the quaternionic Monge-Ampère equation on compact hyperKähler with torsion manifolds. Our goal is to provide a simpler proof than the one presented…