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Interior behaviour of minimizers for certain functionals with nonstandard growth

✍ Scribed by Hi Jun Choe

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
632 KB
Volume
19
Category
Article
ISSN
0362-546X

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✍ L. Esposito; F. Leonetti; G. Mingione πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 176 KB

We prove higher integrability for minimizers u : 0 Γ„ 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.