A generalized Minkowski problem with Dirichlet boundary condition
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Submission date: 14. Nov. 2000
published in: Transactions of the American Mathematical Society, 355 (2003) 2, p. 655-663 (electronic)
DOI number (of the published article): 10.1090/S0002-9947-02-03135-5
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We prove the existence of hypersurfaces with prescribed boundary whose Weingarten curvature equals a given function that depends on the normal of the hypersurface.