Haizhong Li

activity

20242026

collaborators

5 papers

math.AP2026

Existence and nonexistence results for a nonlocal isoperimetric problem on $H^{n}$

Haizhong Li, Bo Yang

In Euclidean space $R^{n}$ , the minimization problem of a nonlocal isoperimetric functional with a competition between perimeter and a nonlocal term derived from the negativ…

math.DG2025

Stable $(r + 1)$ -th capillary hypersurfaces

Jinyu Guo, Haizhong Li, Chao Xia

In this paper, we propose a new definition of stable $(r + 1)$ -th capillary hypersurfaces from variational perspective for any $1 \leq r \leq n - 1$ . More precisely, we define stable $(r…

math.DG2025

Do Carmo's problem for CMC hypersurfaces in $R^{6}$

Jingche Chen, Han Hong, Haizhong Li

In this paper, we prove that complete noncompact constant mean curvature hypersurfaces in $R^{6}$ with finite index must be minimal. This provides a positive answer to do Ca…

math.DG2024

Remarks on "Spiral Minimal Products"

Haizhong Li, Yongsheng Zhang

This note aims to give a better understanding and some remarks about recent preprint ``Spiral Minimal Products". In particular, 1. it should be pointed out that a generalized Delau…

math.DG2024

On $I^´$ -Stable Minimal Hypersurfaces in $R^{n + 1}$

Han Hong, Haizhong Li, Gaoming Wang

In this paper, we extend several results established for stable minimal hypersurfaces to $I^´$ -stable minimal hypersurfaces. These include the regularity and compactness theorems fo…

Existence and nonexistence results for a nonlocal isoperimetric problem on Hn

Stable (r+1)-th capillary hypersurfaces

Do Carmo's problem for CMC hypersurfaces in R6

Remarks on "Spiral Minimal Products"

On I^´-Stable Minimal Hypersurfaces in Rn+1

Existence and nonexistence results for a nonlocal isoperimetric problem on $H^{n}$

Stable $(r + 1)$ -th capillary hypersurfaces

Do Carmo's problem for CMC hypersurfaces in $R^{6}$

On $I^´$ -Stable Minimal Hypersurfaces in $R^{n + 1}$