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arXiv · 1511.01858

Regularity of solutions to the Dirichlet problem for Monge-Ampère equations

Mohamad Charabati
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Abstract

We study Hölder continuity of solutions to the Dirichlet problem for measures having density in $L^p$, $p>1$, with respect to Hausdorff-Riesz measures of order $2n-2+ε$ for $0<ε\leq 2$, in a bounded strongly hyperconvex Lipschitz domain and the boundary data belongs to $ C^{0,α}(\partial Ω)$, $ 0<α\leq 1$.

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Mohamad Charabati. 2015-11-05. Regularity of solutions to the Dirichlet problem for Monge-Ampère equations. https://arxiv.org/abs/1511.01858

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