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arXiv · 2504.12117

The $L_p$ Minkowski problems on affine dual quermassintegrals

Youjiang Lin·Yuchi Wu
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Abstract

In this paper, {we extend the affine dual curvature measures to the $L_p$ setting and solve the existence part of the corresponding Minkowski problem for non-symmetric discrete measures when $p>1$ and for symmetric measures when $p\geq0$.} When $p=0$, the $L_0$ Minkowski problem is the affine dual Minkowski problem, which is introduced and solved by Cai-Leng-Wu-Xi in [6].

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Youjiang Lin, Yuchi Wu. 2026-01-16. The $L_p$ Minkowski problems on affine dual quermassintegrals. https://arxiv.org/abs/2504.12117

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