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Higher integrability of the gradient for vectorial minimizers of decomposable variational integrals

โœ Scribed by M. Bildhauer; M. Fuchs

Publisher
Springer
Year
2007
Tongue
English
Weight
163 KB
Volume
123
Category
Article
ISSN
0025-2611

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๐Ÿ“œ SIMILAR VOLUMES

Higher differentiability for minimizers
Higher differentiability for minimizers of irregular integrals
โœ L. Esposito; F. Leonetti; G. Mingione ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 370 KB

We report on some higher differentiability theorems valid for minimizers of integral functionals \(\int_{\Omega} f(D u) d x\), with non standard growth conditions of \((p, q)\) type. The main feature of our results is that the only regularity assumption made on \(f\) is a suitable form of uniform co

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โœ L. Esposito; F. Leonetti; G. Mingione ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 176 KB

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.