TRACE-FREE KORN INEQUALITIES IN ORLICZ SPACES
| Autor(en): | Breit, D. Cianchi, A. Diening, L. |
Stichwörter: | CONFORMALLY INVARIANT CURVATURE; ELASTICITY; FLUIDS; GEOMETRIC RIGIDITY; Korn inequality; Mathematics; Mathematics, Applied; Orlicz spaces; POINCARE; REGULARITY; singular integrals; SOBOLEV SPACES; symmetric gradient; THEOREM; trace-free symmetric gradient | Erscheinungsdatum: | 2017 | Herausgeber: | SIAM PUBLICATIONS | Enthalten in: | SIAM JOURNAL ON MATHEMATICAL ANALYSIS | Band: | 49 | Ausgabe: | 4 | Startseite: | 2496 | Seitenende: | 2526 | Zusammenfassung: | Necessary and sufficient conditions are exhibited for a Korn-type inequality to hold between (possibly different) Orlicz norms of the gradient of vector-valued functions and of the deviatoric part of their symmetric gradients. As a byproduct of our approach, a positive answer is given to the question of the necessity of the same sufficient conditions in related Korn-type inequalities for the full symmetric gradient, for negative Orlicz Sobolev norms, and for the gradient of the Bogovskii operator. |
ISSN: | 00361410 | DOI: | 10.1137/16M1073662 |
Zur Langanzeige
Seitenaufrufe
3
Letzte Woche
1
1
Letzter Monat
1
1
geprüft am 07.06.2024
