Boundary regularity for the Monge-Ampere and affine maximal surface equations
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Trudinger, Neil
Wang, Xu-Jia
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Princeton University Press
Abstract
In this paper, we prove global second derivative estimates for solutions of the Dirichlet problem for the Monge-Ampère equation when the inhomogeneous term is only assumed to be Hölder continuous. As a consequence of our approach, we also establish the
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Annals of Mathematics
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2037-12-31