✦ LIBER ✦
A chain rule in(L^{1}left({operatorname*{div};Omega} ight))and its applications to lower semicontinuity
✍ Scribed by VirginiaDe Cicco; Giovanni Leoni
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 280 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0944-2669
No coin nor oath required. For personal study only.
✦ Synopsis
A chain rule in the space L1 (div;Ω) is obtained under weak regularity conditions.This chain rule has important applications in the study of lower semicontinuityproblems for general functionals of the form ☺Ω f(x, u,∇u) dx with respect to strong convergence in L1 (Ω) . Classical results of Serrin and of De Giorgi, Buttazzo and Dal Maso are extended and generalized.