On the property of homothetic mean value on periodically perforated domains

P.I. Kogut; T.N. Rudyanova

doi:10.15421/240724

On the property of homothetic mean value on periodically perforated domains

P.I. Kogut (Dnipropetrovsk National University), https://orcid.org/0000-0003-1593-0510
T.N. Rudyanova (Dnipropetrovsk State Finance Academy), https://orcid.org/0000-0002-8685-4132

Abstract

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.

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