Stable capillary hypersurfaces supported on a horosphere in the hyperbolic space

J Guo, G Wang, C Xia - Advances in Mathematics, 2022 - Elsevier
In this paper, we study a stability problem of free boundary hypersurfaces, and also capillary
ones whose boundary supported on a horosphere in hyperbolic space. We prove that …

Some rigidity results on compact hypersurfaces with capillary boundary in Hyperbolic space

Y Chen, J Pyo - arXiv preprint arXiv:2206.09062, 2022 - arxiv.org
In this paper, we prove a Heintze-Karcher type inequality for capillary hypersurfaces
supported on various hypersurfaces in the hyperbolic space. The equality case only occurs …

Stable hypersurfaces with constant higher order mean curvature

L Damasceno, MF Elbert - arXiv preprint arXiv:2212.14130, 2022 - arxiv.org
arXiv:2212.14130v1 [math.DG] 29 Dec 2022 Stable hypersurfaces with constant higher order
mean curvature Page 1 arXiv:2212.14130v1 [math.DG] 29 Dec 2022 Stable hypersurfaces with …

A partially overdetermined problem in domains with partial umbilical boundary in space forms

J Guo, C Xia - Advances in Calculus of Variations, 2024 - degruyter.com
In the first part of this paper, we consider a partially overdetermined mixed boundary value
problem in space forms and generalize the main result in to the case of general domains …

Stability of Capillary Hypersurfaces with Constant Higher Order Mean Curvature

L Damasceno, MF Elbert - The Journal of Geometric Analysis, 2024 - Springer
Stability of Capillary Hypersurfaces with Constant Higher Order Mean Curvature | The Journal
of Geometric Analysis Skip to main content SpringerLink Account Menu Find a journal Publish …

Anisotropic capillary hypersurfaces in a wedge

H Ma, J Ma, M Yang - arXiv preprint arXiv:2403.19815, 2024 - arxiv.org
arXiv:2403.19815v1 [math.DG] 28 Mar 2024 Page 1 ANISOTROPIC CAPILLARY
HYPERSURFACES IN A WEDGE HUI MA, JIAXU MA, AND MINGXUAN YANG Abstract. We …

Estabilidade de Hipersuperfıcies com Curvatura de Ordem Superior Constante e Bordo Livre em Formas Espaciais

LNM Damasceno - mat.unb.br
Hipersuperfıcies mınimas e CMC com bordo livre sao um tema de grande interesse na
pesquisa recente em Geometria Diferencial. Essas hipersuperfıcies podem ser …

Hypersurfaces with free boundary in a convex conical domain in a space form

J Pyo - Annales Polonici Mathematici, 2020 - impan.pl
This study presents rigidity results for hypersurfaces with free boundary in a convex conical
domain in a space form. Let $ C $ be a conical domain with a piecewise linear boundary in a …