Optimal exponentials of thickness in Korn's inequalities for parabolic and elliptic shells

doi:10.1007/s10231-020-01000-6

	Optimal exponentials of thickness in Korn's inequalities for parabolic and elliptic shells
	Yao, Peng-Fei 1,2
刊名	ANNALI DI MATEMATICA PURA ED APPLICATA
	2020-06-19
页码	23
关键词	Korn's inequality Shell Nonlinear elasticity Riemannian geometry
ISSN号	0373-3114
DOI	10.1007/s10231-020-01000-6
英文摘要	We consider the scaling of the optimal constant in Korn's first inequality for elliptic and parabolic shells which was first given by Grabovsky and Harutyunyan with hints coming from the test functions constructed by Tovstik and Smirnov on the level of formal asymptotic expansions. Here, we employ the Bochner technique in Remannian geometry to remove the assumption that the middle surface of the shell is given by one single principal coordinate, in particularly, including closed elliptic shells.
资助项目	National Science Foundation of China[61473126] ; National Science Foundation of China[61573342] ; Key Research Program of Frontier Sciences, CAS[QYZDJ-SSW-SYS011]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000541320800001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/51672]
专题	中国科学院数学与系统科学研究院
通讯作者	Yao, Peng-Fei
作者单位	1.Chinese Acad Sci, Key Lab Syst & Control, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Yao, Peng-Fei. Optimal exponentials of thickness in Korn's inequalities for parabolic and elliptic shells[J]. ANNALI DI MATEMATICA PURA ED APPLICATA,2020:23.
APA	Yao, Peng-Fei.(2020).Optimal exponentials of thickness in Korn's inequalities for parabolic and elliptic shells.ANNALI DI MATEMATICA PURA ED APPLICATA,23.
MLA	Yao, Peng-Fei."Optimal exponentials of thickness in Korn's inequalities for parabolic and elliptic shells".ANNALI DI MATEMATICA PURA ED APPLICATA (2020):23.