Pointwise 𝐶^{2,𝛼} estimates at the boundary for the Monge-Ampère equation
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- 7 August 2012
- journal article
- Published by American Mathematical Society (AMS) in Journal of the American Mathematical Society
- Vol. 26 (1) , 63-99
Abstract
We prove a localization property of boundary sections for solutions to the Monge-Ampère equation. As a consequence we obtain pointwise C 2 , α C^{2,\alpha } estimates at boundary points under appropriate local conditions on the right-hand side and boundary data.Keywords
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