Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands
โ Scribed by Luigi Ambrosio; Oscar Ascenzi; Giuseppe Buttazzo
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 644 KB
- Volume
- 142
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We prove higher integrability for minimizers u : 0 ร R N of integral functionals 0 ( f (Du)+a(x) u) dx, where f satisfies a non standard growth condition of ( p, q) type, |z| p f (z) L(1+|z| q ), p<q.
## Abstract If \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$u : {\mathbb R}^{n}\supset \Omega \rightarrow {\mathbb R}^{M} $\end{document} locally minimizes the functional โซ~ฮฉ~__h__(|โ__u__|) __dx__ with __h__ such that ${{h^{\prime }(t)}\over{t}} \le h^{\prime \prime
Constitutive relations in elastoplasticity may be formulated in a variety of ways, and different update algorithms may be employed to solve the resulting equations. Several implicit integration schemes, although some not widely used, have been suggested in the last years. Among them, the closest poi