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Regularity Results for a Class of Functionals with Non-Standard Growth

✍ Scribed by Emilio Acerbi; Giuseppe Mingione

Publisher: Springer
Year: 2001
Tongue: English
Weight: 147 KB
Volume: 156
Category: Article
ISSN: 0003-9527
DOI: 10.1007/s002050100117

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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

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