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Some results on the weighted Yamabe problem with or without boundary

類別:期刊論文

學年 / 學期:113-2

出版日期:2025-05-19 00:00:00

著者:Pak Tung Ho; Jinwoo Shin; Zetian Yan

著錄名稱、卷期、頁數:Elsevier Bulletin des Sciences Mathématiques 203, 103658

摘要:Abstract. Let (Mn,g,e− ϕdVg,e− ϕdAg,m) be a compact smooth metric measure space with boundary with n ⩾ 3. In this article, we consider several Yamabe-type problems on a compact smooth metric measure space with or without boundary: uniqueness problem on the weighted Yamabe problem with boundary, characterization of the weighted Yamabe solitons with boundary and the existence of positive minimizers in the weighted Escobar quotient.

關鍵字:Yamabe soliton; Aubin-type estimate; uniqueness

語言:en

ISSN:0007-4497

期刊性質:國外

收錄於:SCI Scopus

通訊作者:Jinwoo Shin

審稿制度:

國別:USA

出版型式:電子版