Generalized Gaussian curvature flows related to the Orlicz Gaussian Minkowski problem
Abstract In this paper, we investigate two anisotropic Gaussian curvature flows. Through establishing the long-time existence and congergence for these two flows, we derive the existence results for the Orlicz-Gaussian Minkowski problem in both origin-symmetric and general convex body settings.
Authors
- Yuxin Peng (ORCID: https://orcid.org/0000-0002-8121-4814)
- Yan‐Nan Liu (ORCID: https://orcid.org/0000-0001-6044-8753)
Institutions
- Beijing Technology and Business University (CN)
Publication Details
- Journal
- Advanced Nonlinear Studies
- Published
- 2025-05-22
- DOI
- https://doi.org/10.1515/ans-2023-0188
- Primary Topic
- Point processes and geometric inequalities
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China