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arXiv · 2304.08144

$C^{1, \alpha}$-regularity for functions in solution classes and its application to parabolic normalized $p$-Laplace equations

Se-Chan Lee·Hyungsung Yun
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Abstract

We establish the global $C^{1, \alpha}$-regularity for functions in solution classes, whenever ellipticity constants are sufficiently close. As an application, we derive the global regularity result concerning the parabolic normalized $p$-Laplace equations, provided that $p$ is close to 2. Our analysis relies on the compactness argument with the iteration procedure.

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Se-Chan Lee, Hyungsung Yun. 2023-04-17. $C^{1, \alpha}$-regularity for functions in solution classes and its application to parabolic normalized $p$-Laplace equations. https://arxiv.org/abs/2304.08144

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