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	On complete hypersurfaces with constant mean curvature and finite L-p-norm curvature in Rn+1
	Shen, YB ; Zhu, XH
	2005
关键词	constant mean curvature strong stability L-p-norm curvature MINIMAL-SURFACES
英文摘要	By using curvature estimates, we prove that a complete non-compact hypersurface M with constant mean curvature and finite L-n-norm curvature in Rn+1 must be minimal, so that M is a hyperplane if it is strongly stable. This is a generalization of the result on stable complete minimal hypersurfaces of Rn+1. Moreover, complete strongly stable hypersurfaces with constant mean curvature and finite L-1-norm curvature in Rn+1 are considered.; Mathematics, Applied; Mathematics; SCI(E); 中国科技核心期刊(ISTIC); 中国科学引文数据库(CSCD); 11; ARTICLE; 3; 631-642; 21
语种	英语
出处	SCI
出版者	acta mathematica sinica english series
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/253403]
专题	数学科学学院
推荐引用方式 GB/T 7714	Shen, YB,Zhu, XH. On complete hypersurfaces with constant mean curvature and finite L-p-norm curvature in Rn+1. 2005-01-01.

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