New identity and Korn’s inequalities on a surface - Sorbonne Université Access content directly
Journal Articles Comptes Rendus. Mathématique Year : 2015

New identity and Korn’s inequalities on a surface

Abstract

We establish an identity satisfied by smooth-enough vector fields defined on a surface S ⊂ R3 with values in R3 . As consequences of this identity, we establish several new Korn inequalities for vector fields that vanish on the entire boundary of this surface.

Domains

Mathematics [math] Analysis of PDEs [math.AP] Differential Geometry [math.DG]

Cristinel Mardare  : Connect in order to contact the contributor

https://hal.sorbonne-universite.fr/hal-01301195

Submitted on : Monday, April 11, 2016-5:30:47 PM

Last modification on : Friday, March 24, 2023-2:53:02 PM

Consult the full text

Dates and versions

hal-01301195 , version 1 (11-04-2016)

Identifiers

Cite

Philippe G. Ciarlet, Yifeng Hou, Cristinel Mardare. New identity and Korn’s inequalities on a surface. Comptes Rendus. Mathématique, 2015, 353, pp.369-374. ⟨10.1016/j.crma.2014.12.003⟩. ⟨hal-01301195⟩

Export

BibTeX XML-TEI Dublin Core DC Terms EndNote DataCite

Collections

UNIV-PARIS7 UPMC CNRS INSMI LJLL TDS-MACS SORBONNE-UNIVERSITE SU-SCIENCES
50 View
0 Download

Altmetric

Share

Gmail Facebook X LinkedIn More