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Higher integrability of the gradient of minimizers of functional with nonstandard growth conditions

โœ Scribed by Nicola Fusco; Carlo Sbordone

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
319 KB
Volume
43
Category
Article
ISSN
0010-3640

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๐Ÿ“œ SIMILAR VOLUMES

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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.

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โœ Martin Fuchs ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 104 KB

## 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 โˆซ~ฮฉ~__h__(|โˆ‡__u__|) __dx__ with __h__ such that ${{h^{\prime }(t)}\over{t}} \le h^{\prime \prime