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Traces of Orlicz-Sobolev functions under general growth restrictions

✍ Scribed by Agnieszka Kałamajska; Miroslav Krbec


Book ID
112141527
Publisher
John Wiley and Sons
Year
2012
Tongue
English
Weight
184 KB
Volume
286
Category
Article
ISSN
0025-584X

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Everywhere regularity for a class of vec
✍ F. Leonetti; E. Mascolo; F. Siepe 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 227 KB

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