Higher-order variational problems and phase transitions in nonlinear elasticity. (English) Zbl 1030.74009
Dal Maso, Gianni (ed.) et al., Variational methods for discontinuous structures. International workshop, Villa Erba (Cernobbio), Italy, July 4-6, 2001. Basel: Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 51, 117-140 (2002).
Summary: Higher-order variational problems ask for new techniques which do not reduce to more generalizations of their counterparts for first-order problems. These challenges are here illustrated within the context of phase transitions for nonlinear elastic materials, and of higher-order lower semicontinuity results recently obtained.
For the entire collection see [Zbl 1004.00021].
For the entire collection see [Zbl 1004.00021].
MSC:
| 74B20 | Nonlinear elasticity |
| 74G65 | Energy minimization in equilibrium problems in solid mechanics |
| 74N99 | Phase transformations in solids |
