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Partial regularity for parabolic systems with non-standard growth

โœ Scribed by Frank Duzaar; Jens Habermann

Publisher
Springer
Year
2011
Tongue
English
Weight
511 KB
Volume
12
Category
Article
ISSN
1424-3199

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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