On the property of homothetic mean value on periodically perforated domains
Peter I. Kogut, T.N. Rudyanova · Researches in Mathematics · 2021
We study boundary properties of one class of periodic functions as $\varepsilon \rightarrow 0$, where $\varepsilon$ is a period of periodically perforated domain. We show that their weak limit is the homothetic mean value of such functions.