RUS  ENG
Full version
JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2011 Volume 90, Issue 2, Pages 216–230 (Mi mzm8744)

This article is cited in 2 papers

Sufficiency of Polyhedral Surfaces in the Modulus Method and Removable Sets

Yu. V. Dymchenko, V. A. Shlyk

Far Eastern National University

Abstract: The sufficiency of a family of polyhedral surfaces for calculating the modulus of a family of surfaces separating the plates of a condenser in an open set is proved. Geometric properties of removable sets for this modulus are also determined.

Keywords: modulus of a family of surfaces, condenser, surface separating plates of a condenser, removable set for a modulus of a family of surfaces, polyhedral surface, Lebesgue and Hausdorff measure, Borel function, Hölder inequality.

UDC: 517.54

Received: 16.03.2010

DOI: 10.4213/mzm8744


 English version:
Mathematical Notes, 2011, 90:2, 204–217

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025