期刊論文
| 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 | Ho, Pak-tung |
| 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 ) |