Geodesic
Boundary regularity for the Monge–Ampère and affine maximal surface equations
Neil S. Trudinger1 ; Xu-Jia Wang1
1 Mathematical Sciences Institute, The Australian National University, Canberra 0200, Australia
Annals of mathematics, Tome 167 (2008) no. 3, pp. 993-1028.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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 existence and uniqueness of globally smooth solutions to the second boundary value problem for the affine maximal surface equation and affine mean curvature equation.
DOI : 10.4007/annals.2008.167.993

Neil S. Trudinger 1 ; Xu-Jia Wang 1

1 Mathematical Sciences Institute, The Australian National University, Canberra 0200, Australia 
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Neil S. Trudinger; Xu-Jia Wang. Boundary regularity for the Monge–Ampère and affine maximal surface equations. Annals of mathematics, Tome 167 (2008) no. 3, pp. 993-1028. doi : 10.4007/annals.2008.167.993. http://geodesic.mathdoc.fr/articles/10.4007/annals.2008.167.993/

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