Sobolev inequality and isoperimetric inequality for submanifolds in a smooth metric measure space
學年 111
學期 2
出版（發表）日期 2023-03-29
作品名稱 Sobolev inequality and isoperimetric inequality for submanifolds in a smooth metric measure space
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 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
產學合作
通訊作者 Juncheol Pyo
審稿制度 是
國別 SGP
公開徵稿
出版型式 ,電子版,紙本
相關連結

機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/124457 )