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Global continuity estimates for two dimensional graphs of prescribed Gauss curvature

Urbas, John


We prove the global Hölder continuity of convex solutions u ∈ C3 (Ω) of the equation of prescribed positive Gauss curvature in a bounded convex domain Ω ⊂ R2 with ∂Ω ∈ C1,β for some β ∈ (0, 1], We also obtain better regularity for the trac

CollectionsANU Research Publications
Date published: 2004
Type: Journal article
Source: Manuscripta Mathematica
DOI: 10.1007/s00229-004-0487-4


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