Unbounded periodic constant mean curvature graphs on calibrable Cheeger Serrin domains

被引：0

作者：

Minlend, Ignace Aristide ^{[1
]}

机构：

[1] Univ Douala, Fac Econ & Appl Management, Dept Quantitat Tech, BP 2701, Douala, Cameroon

来源：

ARCHIV DER MATHEMATIK | 2024年 / 122卷 / 03期

关键词：

Overdetermined problems; Cheeger sets; Calibrable sets; Serrin domains; Mean curvature; EXISTENCE; SETS;

D O I：

10.1007/s00013-023-01960-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a general result characterizing a specific class of Serrin domains as supports of unbounded and periodic constant mean curvature graphs. We apply this result to prove the existence of a family of unbounded periodic constant mean curvature graphs, each supported by a Serrin domain and intersecting its boundary orthogonally, up to a translation. We also show that the underlying Serrin domains are calibrable and Cheeger in a suitable sense, and they solve the 1-Laplacian equation.

引用

页码：319 / 329

页数：11