Published Paper
Inserted: 24 feb 2012
Last Updated: 17 apr 2013
Journal: Adv. Math.
Volume: 240
Pages: 672-689
Year: 2013
Links:
Link to the published version
Abstract:
We study strictly convex Alexandrov solutions $u$ of the real Monge-Ampère equation $\det(\nabla^2u)=f$, where $f$ is measurable, positive, and bounded away from $0$ and $\infty$. Under only these assumptions we prove interior ${\rm W}^{2,1+\varepsilon}$-regularity of $u$.
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GeMeThNES
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