Lp dual curvature measures

By Erwin Lutwak, Deane Yang, Gaoyong Zhang. 2018

168 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/babda5a742f187c0660ffed42d46ee546d7693c8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Yiming Zhao
2. Qi-Rui Li
3. Haodi Chen
4. Shibing Chen
5. Yong Huang
6. K. Boroczky
7. Deane Yang
8. Andrea Colesanti

In Geometry and Topology

1. Yiming Zhao
2. Qi-Rui Li
3. Yong Huang
4. Haodi Chen
5. Shibing Chen
6. K. Boroczky
7. Andrea Colesanti
8. Deane Yang

Citations in the corpus

• The L-Minkowski problem for −n < p < 1 (2017, methodology): “matrix of h with respect to an orthonormal frame on Sn−1, and I is the identity matrix. Recent extensions of the Lp-Minkowski problem are the Lp dual Minkowski problem proposed by Lutwak, Yang, Zhang [67], and the Orlicz Minkowski problem discussed by Haberl, Lutwak, Yang, Zhang [34] (extending the ”
• Variations of a class of Monge–Ampère-type functionals and their applications (2021, methodology): “However 1 Lutwak-Yang-Zhang’s Lp dual curvature measure [33] is more general than (1.2), as their definition allows a dependence of a fixed star body Q (i.e. a compact star-shaped set about the origin).”
• The L dual Minkowski problem for p > 1 and q > 0 (2018, unknown): “ THE Lp DUAL MINKOWSKI PROBLEM FOR p &gt; 1 AND q &gt; 0 KAROLY J. B´ OR¨ OCZKY AND FERENC FODOR¨ Abstract. General L p dual curvature measures have recently been introduced by Lutwak, Yang and Zhang [24]. These new measures unify several other geometric measures of the BrunnMinkowski theory and the”
• On the L dual Minkowski problem (2018, methodology): “A recent surprising discovery by Lutwak, Yang & Zhang [53] revealed that there exists a unifying theory that includes the classical Brunn-Minkowski theory, the Lp BrunnMinkowski theory, and the dual Brunn-Minkowski theory.”
• The Lp dual Minkowski problem and related parabolic flows (2021, methodology): “[36] Hug, D.; Lutwak, E.; Yang, D.; Zhang, G.: On the Lp Minkowski problem for polytopes.”