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Optimal exponentials of thickness in Korn's inequalities for parabolic and elliptic shells
Yao, Peng-Fei1,2
2020-06-19
Source PublicationANNALI DI MATEMATICA PURA ED APPLICATA
ISSN0373-3114
Pages23
AbstractWe 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.
KeywordKorn's inequality Shell Nonlinear elasticity Riemannian geometry
DOI10.1007/s10231-020-01000-6
Indexed BySCI
Language英语
Funding ProjectNational Science Foundation of China[61473126] ; National Science Foundation of China[61573342] ; Key Research Program of Frontier Sciences, CAS[QYZDJ-SSW-SYS011]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000541320800001
PublisherSPRINGER HEIDELBERG
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/51673
Collection中国科学院数学与系统科学研究院
Corresponding AuthorYao, Peng-Fei
Affiliation1.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
Recommended Citation
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.
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