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arXiv · 2403.06696

On the smallness of mean oscillations on metric-measure spaces and applications

Dung Le
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Abstract

It will be established that the mean oscillation of a function on a metric-measure space $X\times Y$ will be small if its mean oscillation on $X$ is small and some simple information on its (partial $Y$) upper-gradient is given. Applications to the regularity and global existence of bounded solutions to strongly coupled elliptic/parabolic systems on thin domains are also considered.

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Dung Le. 2024-03-11. On the smallness of mean oscillations on metric-measure spaces and applications. https://arxiv.org/abs/2403.06696

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