Geometric properties of extremal decompositions and estimates for the modulus of families of curves in an annulus
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 11, Tome 204 (1993), pp. 93-114
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
@article{ZNSL_1993_204_a7,
author = {A. Yu. Solynin},
title = {Geometric properties of extremal decompositions and estimates for the modulus of families of curves in an annulus},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {93--114},
publisher = {mathdoc},
volume = {204},
year = {1993},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1993_204_a7/}
}
TY - JOUR AU - A. Yu. Solynin TI - Geometric properties of extremal decompositions and estimates for the modulus of families of curves in an annulus JO - Zapiski Nauchnykh Seminarov POMI PY - 1993 SP - 93 EP - 114 VL - 204 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_1993_204_a7/ LA - ru ID - ZNSL_1993_204_a7 ER -
%0 Journal Article %A A. Yu. Solynin %T Geometric properties of extremal decompositions and estimates for the modulus of families of curves in an annulus %J Zapiski Nauchnykh Seminarov POMI %D 1993 %P 93-114 %V 204 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_1993_204_a7/ %G ru %F ZNSL_1993_204_a7
A. Yu. Solynin. Geometric properties of extremal decompositions and estimates for the modulus of families of curves in an annulus. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 11, Tome 204 (1993), pp. 93-114. http://geodesic.mathdoc.fr/item/ZNSL_1993_204_a7/