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Blow-up phenomena for the constant scalar curvature and constant boundary mean curvature equation (after Chen and Wu)

類別:期刊論文

學年 / 學期:114-1

出版日期:2025-09-23 00:00:00

著者:Pak Tung Ho; Jinwoo Shin

著錄名稱、卷期、頁數:Nonlinear Differential Equations and Applications NoDEA 32, 130

摘要:In this paper, the compactness of the solutions to the constant scalar curvature and constant boundary mean curvature equation is considered. Chen and Wu constructed a smooth counterexample showing that the compactness of the set of “lower energy” solutions to the above equation fails when the dimension of the manifold is not less than 62. We prove that a smooth counterexample still exists when the dimension of the manifold is not less than 35.

關鍵字:Yamabe problem; Compactness; Manifolds with boundary

語言:en

ISSN:1420-9004; 1021-9722

期刊性質:國外

收錄於:SCI SSCI

審稿制度:是

國別:CHE

出版型式:電子版,紙本