The $L_p$-dual Christoffel-Minkowski problem for the case $p\geq q$
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912302108770304 |
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| author | Chen, Xiaojuan Tu, Qiang Xiang, Ni |
| author_facet | Chen, Xiaojuan Tu, Qiang Xiang, Ni |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_01454 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The $L_p$-dual Christoffel-Minkowski problem for the case $p\geq q$ Chen, Xiaojuan Tu, Qiang Xiang, Ni Analysis of PDEs 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. |
| title | The $L_p$-dual Christoffel-Minkowski problem for the case $p\geq q$ |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2503.01454 |