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arXiv · 2503.01454

The $L_p$-dual Christoffel-Minkowski problem for the case $p\geq q$

Xiaojuan Chen·Qiang Tu·Ni Xiang
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Abstract

In this paper, we consider a class of Hessian equations associated to the $L_p$-dual Christoffel-Minkowski problem for the case $p\geq q$. By combining the tools of constant rank theorem, the a priori estimates and the continuity method, we obtain the existence and uniqueness for strictly spherical convex solutions to the $L_p$-dual Christoffel-Minkowski problem.

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Xiaojuan Chen, Qiang Tu, Ni Xiang. 2025-03-03. The $L_p$-dual Christoffel-Minkowski problem for the case $p\geq q$. https://arxiv.org/abs/2503.01454

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