Geodesic
Pointwise 𝐶^{2,𝛼} estimates at the boundary for the Monge-Ampère equation
Savin, O.1
1 Department of Mathematics, Columbia University, New York, New York 10027
Journal of the American Mathematical Society, Tome 26 (2013) no. 1, pp. 63-99

Voir la notice de l'article provenant de la source American Mathematical Society

We prove a localization property of boundary sections for solutions to the Monge-Ampère equation. As a consequence we obtain pointwise $C^{2,\alpha }$ estimates at boundary points under appropriate local conditions on the right-hand side and boundary data.
DOI : 10.1090/S0894-0347-2012-00747-4

Savin, O. 1

1 Department of Mathematics, Columbia University, New York, New York 10027 
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Savin, O. Pointwise 𝐶^{2,𝛼} estimates at the boundary for the Monge-Ampère equation. Journal of the American Mathematical Society, Tome 26 (2013) no. 1, pp. 63-99. doi: 10.1090/S0894-0347-2012-00747-4

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