For det D^2u = F(x,u) with u=0 on a bounded convex domain, the authors prove global Hölder continuity with exponent (β-n+1)/(n+α), improved by the (a,η) convexity parameter, without requiring smoothness of the domain or F.
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On A Class of Degenerate And Singular Monge-Amp\`ere Equations
For det D^2u = F(x,u) with u=0 on a bounded convex domain, the authors prove global Hölder continuity with exponent (β-n+1)/(n+α), improved by the (a,η) convexity parameter, without requiring smoothness of the domain or F.