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Regularity results for a new class of functionals with non-standard growth conditions

โœ Scribed by Flavia Giannetti; Antonia Passarelli di Napoli

Book ID
119292859
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
282 KB
Volume
254
Category
Article
ISSN
0022-0396

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We consider the integral functional of the calculus of variations where f : R nN โ†’ R satisfies f (z) = g(|z|) and g is an N-function with subquadratic p-q growth. We prove that minimizers u : โ„ฆ โŠ‚ R n โ†’ R N of such a functional are locally Lipschitz continuous, provided g verifies some additional co