New nonlinear estimates for surfaces in terms of their fundamental forms

Philippe G. Ciarlet; Maria Malin; Cristinel Mardare

doi:10.1016/j.crma.2017.01.002

Author(s)

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	226-231
Journal / Publication	Comptes Rendus Mathematique
Volume	355
Issue number	2
Online published	1 Feb 2017
Publication status	Published - Feb 2017

Link(s)

DOI	DOI https://doi.org/10.1016/j.crma.2017.01.002 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-85011117645&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(b614789a-2b5a-4945-a2f0-a6ba1373fa5d).html

Abstract

We establish several estimates of the distance between two surfaces immersed in the three-dimensional Euclidean space in terms of the distance between their fundamental forms, measured in various Sobolev norms. These estimates, which can be seen as nonlinear versions of linear Korn inequalities on a surface appearing in the theory of linearly elastic shells, generalize in particular the nonlinear Korn inequality established in 2005 by P. G. Ciarlet, L. Gratie, and C. Mardare.

Citation Format(s)

[ RIS ] [ BibTeX ]

New nonlinear estimates for surfaces in terms of their fundamental forms. / Ciarlet, Philippe G.; Malin, Maria ; Mardare, Cristinel.
In: Comptes Rendus Mathematique, Vol. 355, No. 2, 02.2017, p. 226-231.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Ciarlet, PG , Malin, M & Mardare, C 2017, 'New nonlinear estimates for surfaces in terms of their fundamental forms', Comptes Rendus Mathematique, vol. 355, no. 2, pp. 226-231. https://doi.org/10.1016/j.crma.2017.01.002

Ciarlet, P. G., Malin, M., & Mardare, C. (2017). New nonlinear estimates for surfaces in terms of their fundamental forms. Comptes Rendus Mathematique, 355(2), 226-231. https://doi.org/10.1016/j.crma.2017.01.002

Ciarlet PG , Malin M , Mardare C. New nonlinear estimates for surfaces in terms of their fundamental forms. Comptes Rendus Mathematique. 2017 Feb;355(2):226-231. Epub 2017 Feb 1. doi: 10.1016/j.crma.2017.01.002

Ciarlet, Philippe G. ; Malin, Maria ; Mardare, Cristinel. / New nonlinear estimates for surfaces in terms of their fundamental forms. In: Comptes Rendus Mathematique. 2017 ; Vol. 355, No. 2. pp. 226-231.