A generalized Minkowski problem with Dirichlet boundary condition

Schnurer, Oliver

doi:10.1090/S0002-9947-02-03135-5

A generalized Minkowski problem with Dirichlet boundary condition
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by Oliver C. Schnurer PDF

Trans. Amer. Math. Soc. 355 (2003), 655-663 Request permission

Abstract:

We prove the existence of hypersurfaces with prescribed boundary whose Weingarten curvature equals a given function that depends on the normal of the hypersurface.

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