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Higher Integrability for Minimizers of Integral Functionals With (p, q) Growth

✍ Scribed by L. Esposito; F. Leonetti; G. Mingione

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 176 KB
Volume: 157
Category: Article
ISSN: 0022-0396
DOI: 10.1006/jdeq.1998.3614

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✦ Synopsis

We prove higher integrability for minimizers u : 0 Ä 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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