Hypersurfaces of prescribed Gauss curvature in exterior domains

Felix Finster and Oliver Schnürer

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Submission date: 11. Mar. 2001
Pages: 16
published in: Calculus of variations and partial differential equations, 15 (2002) 1, p. 67-80 
DOI number (of the published article): 10.1007/s005260100118
Bibtex
MSC-Numbers: 35J65, 53C42, 35J25, 53C21
Keywords and phrases: exterior domains, prescribed gauß curvature, dirichlet boundary values
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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.