A nonlinear Korn inequality on a surface with an explicit estimate of the constant
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 105-111 |
| Journal / Publication | Comptes Rendus Mathematique |
| Volume | 359 |
| Issue number | 2 |
| Online published | 17 Mar 2021 |
| Publication status | Published - 2021 |
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| DOI | DOI |
|---|---|
| Attachment(s) | Documents
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| Link to Scopus | https://www.scopus.com/record/display.uri?eid=2-s2.0-85104264362&origin=recordpage |
| Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(4bf1cb35-844a-4649-83f6-b03e049efe26).html |
Abstract
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‾.
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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A nonlinear Korn inequality on a surface with an explicit estimate of the constant. / Malin, Maria; Mardare, Cristinel.
In: Comptes Rendus Mathematique, Vol. 359, No. 2, 2021, p. 105-111.
In: Comptes Rendus Mathematique, Vol. 359, No. 2, 2021, p. 105-111.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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