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‾.
| Original language | English |
|---|---|
| Pages (from-to) | 105-111 |
| Journal | Comptes Rendus Mathematique |
| Volume | 359 |
| Issue number | 2 |
| Online published | 17 Mar 2021 |
| DOIs | |
| Publication status | Published - 2021 |
Publisher's Copyright Statement
- This full text is made available under CC-BY 4.0. https://creativecommons.org/licenses/by/4.0/