Minkowski problem for complete noncompact convex hypersurfaces
Keywords
The Minkowski problem, the Monge-Ampère equationAbstract
We present some sufficient conditions on the existence of a complete noncompact convex hypersurface whose Gauss curvature is equal to a prescribed function on the unit sphere. By the Legendre transform this problem is reduced to the solvability of the Monge-Ampère equation subject to certain boundary conditions.Downloads
Published
1995-09-01
How to Cite
1.
CHOU, Kai-Seng and WANG, Xu-Jia. Minkowski problem for complete noncompact convex hypersurfaces. Topological Methods in Nonlinear Analysis. Online. 1 September 1995. Vol. 6, no. 1, pp. 151 - 162. [Accessed 24 April 2025].
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