A flow method to the Orlicz-Aleksandrov problem
Jinrong Hu, Jiaqian Liu, and Di Ma
TL;DR
This paper introduces a geometric flow approach to establish the existence and uniqueness of smooth solutions for the Orlicz-Aleksandrov problem, advancing understanding in geometric analysis.
Contribution
It provides the first existence proof of smooth solutions using geometric flow methods and discusses a unique solution property for the problem.
Findings
Existence of smooth solutions established
Uniqueness of solutions discussed
Geometric flow approach applied successfully
Abstract
In this paper, we obtain the existence result of smooth solutions to the Orlicz-Aleksandrov problem from the perspective of geometric flow. Furthermore, a special uniqueness result of solutions to this problem shall be discussed.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsPoint processes and geometric inequalities · Geometric Analysis and Curvature Flows · Nonlinear Partial Differential Equations