2 papers
math.AP2026
Interior estimates and regularity for the scalar curvature equation in dimension 4
Zhenyu Fan, Ravi Shankar
We establish a priori interior curvature estimates for the scalar curvature equation in dimension 4. Our approach relies on the doubling method introduced by Shankar and Yuan [SY25…
math.AP2023
Regularity for the Monge-Ampère equation by doubling
Ravi Shankar, Yu Yuan
We give a new proof for the interior regularity of strictly convex solutions of the Monge-Ampère equation. Our approach uses a doubling inequality for the Hessian in terms of the e…