✦ LIBER ✦
Local lipschitz regularity of vector valued local minimizers of variational integrals with densities depending on the modulus of the gradient
✍ Scribed by Martin Fuchs
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 104 KB
- Volume
- 284
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
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 ∫~Ω~h(|∇u|) dx with h such that ${{h^{\prime }(t)}\over{t}} \le h^{\prime \prime }(t) \le c, (1 + t^2)^\omega {{h^{\prime }(t)}\over{t}} $ for all t ⩾ 0, then u is locally Lipschitz independent of the value of ω ⩾ 0. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim