On an area-preserving locally constrained inverse curvature flow of convex curves

被引：1

作者：

Yang, Yunlong ^{[1
]}

Zhao, Yuming ^{[1
]}

Zhang, Yanlong ^{[2
,3
]}

机构：

[1] Dalian Maritime Univ, Sch Sci, Dalian 116026, Peoples R China

[2] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China

[3] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2023年 / 230卷

关键词：

Constrained curvature flow; Inverse curvature flow; Isoperimetric inequality; HYPERSURFACES;

D O I：

10.1016/j.na.2023.113245

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper will deal with a locally constrained inverse curvature flow which keeps the convexity and preserves the enclosed area of the evolving curve, and the limiting curve converges to a circle in the C infinity sense. As applications of this flow, an inequality for the integral of the power of support function for convex curves and the classical isoperimetric inequality are obtained.(c) 2023 Elsevier Ltd. All rights reserved.

引用

页数：8

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