The capillary L_p dual Christoffel-Minkowski problem for 1<p<q≤ k+1 with 1≤ k≤ n

@misc{li2026capillary,
  title = {{The capillary $L_p$ dual Christoffel-Minkowski problem for $1<p<q\leq k+1$ with $1\leq k\leq n$}},
  author = {Guanghan Li and Mengliang Liu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.37258},
  eprint = {2609.37258},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.37258},
}

TY  - UNPB
TI  - The capillary L_p dual Christoffel-Minkowski problem for 1<p<q≤ k+1 with 1≤ k≤ n
AU  - Guanghan Li
AU  - Mengliang Liu
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.37258
UR  - https://arxiv.org/abs/2609.37258
AB  - This paper is concerned with a capillary L_p Christoffel--Minkowski-type problem involving the prescription of a class of L_p geometric measures formed by the k-th capillary area measure and the q-th dual curvature measure. By establishing a gradient estimate, we prove the existence of an even, smooth, strictly convex solution in the parameter range 1<p<q≤ k+1, where 1≤ k≤ n.
ER  -