First eigenvalues of free boundary hypersurfaces in the unit ball along the inverse mean curvature flow
學年 112
學期 1
出版（發表）日期 2023-12-13
作品名稱 First eigenvalues of free boundary hypersurfaces in the unit ball along the inverse mean curvature flow
作品名稱（其他語言）
著者 Pak Tung Ho, Juncheol Pyo
單位
出版者
著錄名稱、卷期、頁數 Differential Geometry and its Applications 93,　102095
摘要 In this note, we consider the first nonzero eigenvalue of the p-Laplacian on free boundary proper hypersurfaces in the unit ball evolving along the inverse mean curvature flow. We show that is monotone decreasing along the flow. Using the convergence of free boundary disks in the unit ball, we give a lower bound of of a free boundary disk type hypersurface in the unit ball.
關鍵字
語言 en
ISSN 1872-6984
期刊性質 國外
收錄於 SCI
產學合作
通訊作者 Juncheol Pyo
審稿制度 是
國別 USA
公開徵稿
出版型式 ,電子版