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Lower semicontinuity for functionals with (p,q)-growth in Carnot groups

✍ Scribed by Costantino Capozzoli

Book ID
118815373
Publisher
Springer Milan
Year
2011
Tongue
Italian
Weight
169 KB
Volume
61
Category
Article
ISSN
0035-5038

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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.