On the Lpdual Minkowski problem for -1
Autor:
Mui, Stephanie
Zdroj:
Calculus of Variations and Partial Differential Equations; November 2024, Vol. 63 Issue: 8
Abstrakt:
The Lpdual curvature measure was introduced by Lutwak et al. (Adv Math 329:85–132, 2018). The associated Minkowski problem, known as the Lpdual Minkowski problem, asks about existence of a convex body with prescribed Lpdual curvature measure. This question unifies the previously disjoint LpMinkowski problem with the dual Minkowski problem, two open questions in convex geometry. In this paper, we prove the existence of a solution to the Lpdual Minkowski problem for the case of q
Databáze:
Supplemental Index
Externí odkaz:
| Autor: | Mui, Stephanie |
|---|---|
| Zdroj: | Calculus of Variations and Partial Differential Equations; November 2024, Vol. 63 Issue: 8 |
| Abstrakt: | The Lpdual curvature measure was introduced by Lutwak et al. (Adv Math 329:85–132, 2018). The associated Minkowski problem, known as the Lpdual Minkowski problem, asks about existence of a convex body with prescribed Lpdual curvature measure. This question unifies the previously disjoint LpMinkowski problem with the dual Minkowski problem, two open questions in convex geometry. In this paper, we prove the existence of a solution to the Lpdual Minkowski problem for the case of q |
| Databáze: | Supplemental Index |
| Externí odkaz: |
|
Full text from SpringerLink