出版日期：2023-03-29 00:00:00

著者：Pak Tung Ho, Juncheol Pyo

著錄名稱、卷期、頁數：International Journal of Mathematics 34(5),　2350027

摘要：Brendle recently proved a sharp Sobolev inequality and logarithmic Sobolev inequality for submanifolds in Euclidean space. From the sharp Sobolev inequality, he achieved a breakthrough in the conjecture of isoperimetric inequality for minimal submanifolds. In this paper, we extend Brendle’s results to submanifolds in a smooth metric measure space. As an application, we prove some new isoperimetric-type inequalities in some smooth metric measure spaces. For example, we obtain a new isoperimetric-type inequality for self-expander.

關鍵字：Smooth metric measure space;Sobolev inequality;logarithmic Sobolev inequality

語言：en

ISSN：1793-6519; 0129-167X

期刊性質：國外

收錄於：SCI Scopus

通訊作者：Juncheol Pyo

審稿制度：是

國別：SGP

出版型式：電子版,紙本