Grassmannian forms of LXYZ's $L^p$ affine Sobolev inequality chain
Abstract In this article, we reformulate LXYZ’s $L^p$ affine Sobolev inequality chain (including Lutwak–Yang–Zhang’s $L^p$ affine Sobolev inequality and Xiao’s p -affine capacity inequality) in the setting of Grassmann manifolds. For this purpose, the Grassmannian $ p $ -affine capacity is introduced.
Authors
- Aijun Li
- KAI HE
Institutions
- Zhejiang University of Science and Technology (CN)
Publication Details
- Journal
- Canadian Mathematical Bulletin
- Published
- 2026-01-02
- DOI
- https://doi.org/10.4153/s0008439525101586
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China