English

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

Analysis of PDEs 2025-04-02 v2

Abstract

In this paper, we consider a class of Hessian equations associated to the LpL_p-dual Christoffel-Minkowski problem for the case pqp\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 LpL_p-dual Christoffel-Minkowski problem.

Keywords

Cite

@article{arxiv.2503.01454,
  title  = {The $L_p$-dual Christoffel-Minkowski problem for the case $p\geq q$},
  author = {Xiaojuan Chen and Qiang Tu and Ni Xiang},
  journal= {arXiv preprint arXiv:2503.01454},
  year   = {2025}
}