First eigenvalues of free boundary hypersurfaces in the unit ball along the inverse mean curvature flow
出版日期:2023-12-13 00:00:00
著者:Pak Tung Ho, Juncheol Pyo
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.
語言:en
ISSN:1872-6984
期刊性質:國外
收錄於:SCI
通訊作者:Juncheol Pyo
審稿制度:是
國別:USA
出版型式:電子版