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arXiv:2006.08244 [math.AP]AbstractReferencesReviewsResources

Hölder continuity of the minimizer of an obstacle problem with generalized Orlicz growth

Arttu Karppinen, Mikyoung Lee

Published 2020-06-15Version 1

We prove local $C^{0,\alpha}$- and $C^{1,\alpha}$-regularity for the local solution to an obstacle problem with non-standard growth. These results cover as special cases standard, variable exponent, double phase and Orlicz growth.

Categories: math.AP
Subjects: 35B65, 49N60, 35A15, 46E35
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