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paper

Hypersurfaces of Prescribed Gauss Curvature in Exterior Domains

arXiv:math/0102148 · doi:10.1007/s005260100118

Abstract

We prove an existence theorem for convex hypersurfaces of prescribed Gauss curvature in the complement of a compact set in Euclidean space which are close to a cone.

15 pages, LaTeX (published version)