Geodesic
Capacities of condensers, generalizations of Gr\"otzsch Lemmas, and symmetrization
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 21, Tome 337 (2006), pp. 73-100

Voir la notice de l'article provenant de la source Math-Net.Ru

Principles of symmetry and composition for the conformal capacity of generalized condensers are considered. Interrelations among these principles, the classical Grötzsch lemmas, and certain types of symmetrization are discussed. Applications to estimating the logarithmic and hyperbolic capacities of compacts and to extremal decomposition problems are presented. Bibliography: 27 titles. 
@article{ZNSL_2006_337_a5,
     author = {V. N. Dubinin},
     title = {Capacities of condensers, generalizations of {Gr\"otzsch} {Lemmas,} and symmetrization},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {73--100},
     publisher = {mathdoc},
     volume = {337},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_337_a5/}
}
TY  - JOUR
AU  - V. N. Dubinin
TI  - Capacities of condensers, generalizations of Gr\"otzsch Lemmas, and symmetrization
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2006
SP  - 73
EP  - 100
VL  - 337
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2006_337_a5/
LA  - ru
ID  - ZNSL_2006_337_a5
ER  - 
%0 Journal Article
%A V. N. Dubinin
%T Capacities of condensers, generalizations of Gr\"otzsch Lemmas, and symmetrization
%J Zapiski Nauchnykh Seminarov POMI
%D 2006
%P 73-100
%V 337
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2006_337_a5/
%G ru
%F ZNSL_2006_337_a5
V. N. Dubinin. Capacities of condensers, generalizations of Gr\"otzsch Lemmas, and symmetrization. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 21, Tome 337 (2006), pp. 73-100. http://geodesic.mathdoc.fr/item/ZNSL_2006_337_a5/