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Regularity for minimizers of functionals with nonstandard growth by A-harmonic approximation

✍ Scribed by Jens Habermann; Anna Zatorska–Goldstein

Publisher: SP Birkhäuser Verlag Basel
Year: 2008
Tongue: English
Weight: 298 KB
Volume: 15
Category: Article
ISSN: 1021-9722
DOI: 10.1007/s00030-007-7007-7

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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