On an exact description of the Schottky groups of symmetries¹

The work is partially supported by the Belarusian Fund for Fundamental Scientific Research

Abstract

Exact description of the Schottky groups of symmetries is given for certain special configurations of multiply connected circular domains. It is used in the representation of the solution of the Schwarz problem which is applied at the study of effective properties of composite materials.

Darbe pateiktas Schottky simetrijos grupiu apibrežimas tam tikros specialios konfiguracijos daugiajungems skritulinems sritims. Jis yra panaudotas gaunant Švarco uždavinio, kuris pritaikomas nagrinejant efektyvias kompoziciju savybes, sprendinio išraiška.

Key words:

• symmetries
• Schottky group
• Schwarz boundary value problem
• composite materials

Notes

The work is partially supported by the Belarusian Fund for Fundamental Scientific Research