Conti, Sergio and Dolzmann, Georg and Mueller, Stefan (2014) Korn's second inequality and geometric rigidity with mixed growth conditions. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 50 (1-2). pp. 437-454. ISSN 0944-2669, 1432-0835
Full text not available from this repository. (Request a copy)Abstract
Geometric rigidity states that a gradient field which is L-p-close to the set of proper rotations is necessarily L-p-close to a fixed rotation, and is one key estimate in nonlinear elasticity. In several applications, as for example in the theory of plasticity, energy densities with mixed growth appear. We show here that geometric rigidity holds also in L-p + L-q and in L-p,L-q interpolation spaces. As a first step we prove the corresponding linear inequality, which generalizes Korn's inequality to these spaces.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | GAMMA-CONVERGENCE; ELASTICITY; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Georg Dolzmann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 13 Nov 2019 10:18 |
| Last Modified: | 13 Nov 2019 10:18 |
| URI: | https://pred.uni-regensburg.de/id/eprint/10261 |
Actions (login required)
 |
View Item |
