A nonlinear Korn inequality on a surface with an explicit estimate of the constant

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Original languageEnglish
Pages (from-to)105-111
Journal / PublicationComptes Rendus Mathematique
Issue number2
Online published17 Mar 2021
Publication statusPublished - 2021



A nonlinear Korn inequality on a surface estimates a distance between a surface θ (ω) and another surface φ (ω) in terms of distances between their fundamental forms in the space Lp (ω), 1 < p < ∞. 
We establish a new inequality of this type. The novelty is that the immersion θ belongs to a specific set of mappings of class C1 from ω‾ into R3 with a unit vector field also of class C1 over ω‾.

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