Liouville-type theorems for minimal graphs over manifolds

IF 1.8 1区数学 Q1 MATHEMATICS Analysis & PDE Pub Date : 2019-11-23 DOI:10.2140/apde.2021.14.1925

Q. Ding

引用次数: 12

Abstract

Let $\Sigma$ be a complete Riemannian manifold with the volume doubling property and the uniform Neumann-Poincar$\mathrm{\acute{e}}$ inequality. We show that any positive minimal graphic function on $\Sigma$ is a constant.

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流形上最小图的liouville型定理

设$\Sigma$为完全黎曼流形，具有体积加倍性质和一致的诺伊曼-庞加莱$\mathrm{\acute{e}}$不等式。我们证明了$\Sigma$上的任何正极小图形函数都是常数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Analysis & PDE MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.80

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： APDE aims to be the leading specialized scholarly publication in mathematical analysis. The full editorial board votes on all articles, accounting for the journal’s exceptionally high standard and ensuring its broad profile.

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