H\"older continuity of the minimizer of an obstacle problem with generalized Orlicz growth

Arttu Karppinen; Mikyoung Lee

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arXiv · 2006.08244

H\"older continuity of the minimizer of an obstacle problem with generalized Orlicz growth

Arttu Karppinen·Mikyoung Lee

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Abstract

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.

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Arttu Karppinen, Mikyoung Lee. 2020-06-15. H\"older continuity of the minimizer of an obstacle problem with generalized Orlicz growth. https://arxiv.org/abs/2006.08244

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