Minkowski problem for complete noncompact convex hypersurfaces
KeywordsThe Minkowski problem, the Monge-Ampère equation
AbstractWe 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.
How to Cite
CHOU, Kai-Seng & WANG, Xu-Jia. Minkowski problem for complete noncompact convex hypersurfaces. Topological Methods in Nonlinear Analysis [online]. 1 September 1995, T. 6, nr 1, s. 151–162. [accessed 24.3.2023].
Number of views and downloads: 0
Number of citations: 0