On an anisotropic Minkowski problem

Details On an anisotropic Minkowski problem On an anisotropic Minkowski problem

2012-03-06

arxiv.org/abs/1203.1211v1

Mathematics

Analysis of PDEs

28 pages

Scientific paper

In this paper, we study the anisotropic Minkowski problem. It is a problem of prescribing the anisotropic Gauss-Kronecker curvature for a closed strongly convex hypersurface in Euclidean space as a function on its anisotropic normals in relative or Minkowski geometry. We first formulate such problem to a Monge-Amp\'ere type equation on the anisotropic support function and then prove the existence and uniqueness of the admissible solution to such equation. In conclusion, we give an affirmative answer to the anisotropic Minkowski problem.

Affiliated with

Also associated with

No associations

Rating

On an anisotropic Minkowski problem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On an anisotropic Minkowski problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On an anisotropic Minkowski problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-537411