Global Hölder estimates for equations of Monge-Ampère type.

John I.E. Urbas

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Displaying similar documents to “Global Hölder estimates for equations of Monge-Ampère type.”

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Let Ω be a bounded convex domain in Rⁿ with smooth, strictly convex boundary ∂Ω, i.e. the principal curvatures of ∂Ω are all positive. We study the problem of finding a convex function u in Ω such that: det (u_ij) = 0 in Ω u = φ given on ∂Ω.