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Regularity for non-autonomous functionals with almost linear growth

✍ Scribed by Dominic Breit; Bruno De Maria; Antonia Passarelli di Napoli

Publisher
Springer
Year
2011
Tongue
English
Weight
312 KB
Volume
136
Category
Article
ISSN
0025-2611

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πŸ“œ SIMILAR VOLUMES

Regularity Results for a Class of Functi
Regularity Results for a Class of Functionals with Non-Standard Growth
✍ Emilio Acerbi; Giuseppe Mingione πŸ“‚ Article πŸ“… 2001 πŸ› Springer 🌐 English βš– 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