Abstract
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 extrinsic distance function on the maximal Lagrangian submanifold determined by the potential equation.
Original language | English (US) |
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Article number | 34 |
Journal | Mathematische Zeitschrift |
Volume | 307 |
Issue number | 2 |
DOIs | |
State | Published - Jun 2024 |
All Science Journal Classification (ASJC) codes
- General Mathematics