A generalized Minkowski problem with Dirichlet boundary condition
Contact the author: Please use for correspondence this email.
Submission date: 14. Nov. 2000
published in: Transactions of the American Mathematical Society, 355 (2003) 2, p. 655-663 (electronic)
Download full preprint: PDF (307 kB), PS ziped (146 kB)
We prove the existence of hypersurfaces with prescribed boundary whose Weingarten curvature equals a given function that depends on the normal of the hypersurface.