𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Everywhere regularity for a class of vectorial functionals under subquadratic general growth conditions

✍ Scribed by F. Leonetti; E. Mascolo; F. Siepe

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
227 KB
Volume
287
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

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 conditions.

📜 SIMILAR VOLUMES

Regularity Results for a Class of Functi
Regularity Results for a Class of Functionals with Non-Standard Growth
✍ Emilio Acerbi; Giuseppe Mingione 📂 Article 📅 2001 🏛 Springer 🌐 English ⚖ 147 KB

We consider the integral functional f (x, Du) dx under non-standard growth assumptions that we call p(x) type: namely, we assume that |z| p(x) f (x, z) L(1 + |z| p(x) ), a relevant model case being the functional Under sharp assumptions on the continuous function p(x) > 1 we prove regularity of min

A Hölder continuity result for a class o
A Hölder continuity result for a class of obstacle problems under non standard growth conditions
✍ Michela Eleuteri; Jens Habermann 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 282 KB

## Abstract Let Ω~1~ and Ω~2~ be bounded, connected open sets in \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb {R}^N$\end{document} with continuous boundary, and let __p__ > 2. We show that every positive linear isometry __T__ from __W__^1, __p__^(Ω~1~) to __W

A Hölder continuity result for a class o
A Hölder continuity result for a class of obstacle problems under non standard growth conditions
✍ Michela Eleuteri; Jens Habermann 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 272 KB

## Abstract We prove __C__^0, α^ regularity for local minimizers __u__ of functionals with __p__(__x__)‐growth of the type in the class \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$K :=\lbrace w \in W^{1,p(\cdot )}(\Omega ;{\mathbb R}): w \ge \psi \rbrace$\end{docum