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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
14/2001

Hypersurfaces of prescribed Gauss curvature in exterior domains

Felix Finster and Oliver Schnürer

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.

Received:
Mar 11, 2001
Published:
Mar 11, 2001
MSC Codes:
35J65, 53C42, 35J25, 53C21
Keywords:
exterior domains, prescribed gauß curvature, dirichlet boundary values

Related publications

inJournal
2002 Repository Open Access
Felix Finster and Oliver C. Schnürer

Hypersurfaces of prescribed Gauss curvature in exterior domains

In: Calculus of variations and partial differential equations, 15 (2002) 1, pp. 67-80