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

2024/03/11 by Le, Dung
#35B65 #42B37 #49Q15 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2403.06696

Abstract

It will be established that the mean oscillation of a function on a metric-measure space X× 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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