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Higher integrability of minimizing Young measures

โœ Scribed by Georg Dolzmann; Jan Kristensen


Publisher
Springer
Year
2005
Tongue
English
Weight
211 KB
Volume
22
Category
Article
ISSN
0944-2669

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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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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.