Geometric properties of extremal decompositions and estimates for the modulus of families of curves in an annulus

A. Yu Solynin

doi:10.1007/BF02366463

Geometric properties of extremal decompositions and estimates for the modulus of families of curves in an annulus

A. Yu Solynin

Mathematics and Statistics

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Abstract

We study the geometric properties of the boundary for problems on extremal decomposition into two domains of an annulus or a rectangle with a barrier removed. Sharp estimates of moduli are proved for certain families of curves bending around the barrier in a canonical domain. Bibliography: 17 titles.

Original language	English
Pages (from-to)	1327-1340
Number of pages	14
Journal	Journal of Mathematical Sciences
Volume	79
Issue number	5
DOIs	https://doi.org/10.1007/BF02366463
State	Published - 1996

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abstract = "We study the geometric properties of the boundary for problems on extremal decomposition into two domains of an annulus or a rectangle with a barrier removed. Sharp estimates of moduli are proved for certain families of curves bending around the barrier in a canonical domain. Bibliography: 17 titles.",

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Geometric properties of extremal decompositions and estimates for the modulus of families of curves in an annulus

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