American journal of mathematics, 2023-02, Vol.145 (1), p.221-249
2023
Volltextzugriff (PDF)
Details
- Autor(en) / Beteiligte
- Titel
- Global C2,α estimates for the Monge-Ampère equation on polygonal domains in the plane
- Ist Teil von
- American journal of mathematics, 2023-02, Vol.145 (1), p.221-249
- Ort / Verlag
- Baltimore: Johns Hopkins University Press
- Erscheinungsjahr
- 2023
- Quelle
- Project MUSE
- Beschreibungen/Notizen
- We classify global solutions of the Monge-Amp\\`ere equation $\\det D^2 u=1$ on the first quadrant in the plane with quadratic boundary data. As an application, we obtain global $C^\{2,\\alpha\}$ estimates for the non-degenerate Monge-Amp\\`ere equation in convex polygonal domains in $\\Bbb\{R\}^2$ provided a globally $C^2$, convex strict subsolution exists.