Abstract
We derive a priori interior Hessian estimates and interior regularity for the σ2 equation in dimension four. Our method provides both a new proof for the corresponding three dimensional results and a Hessian estimate for smooth solutions satisfying a dynamic semi-convexity condition in higher (n ≥ 5) dimensions.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 489-513 |
| Number of pages | 25 |
| Journal | Annals of Mathematics |
| Volume | 201 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2025 |
All Science Journal Classification (ASJC) codes
- Mathematics (miscellaneous)
Keywords
- interior estimates
- k-Hessian equation
- regularity
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