Geodesic
Extremal metrics and modulus
Czechoslovak Mathematical Journal, Tome 52 (2002) no. 2, pp. 225-235.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We give a new proof of Beurling’s result related to the equality of the extremal length and the Dirichlet integral of solution of a mixed Dirichlet-Neuman problem. Our approach is influenced by Gehring’s work in $\mathbb{R}^3$ space. Also, some generalizations of Gehring’s result are presented.
Classification : 30A15, 30C85
Keywords: extremal distance; conformal capacity; Beurling theorem 
@article{CMJ_2002__52_2_a0,
     author = {Ani\'c, I. and Mateljevi\'c, M. and \v{S}ari\'c, D.},
     title = {Extremal metrics and modulus},
     journal = {Czechoslovak Mathematical Journal},
     pages = {225--235},
     publisher = {mathdoc},
     volume = {52},
     number = {2},
     year = {2002},
     mrnumber = {1905432},
     zbl = {1014.30015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2002__52_2_a0/}
}
TY  - JOUR
AU  - Anić, I.
AU  - Mateljević, M.
AU  - Šarić, D.
TI  - Extremal metrics and modulus
JO  - Czechoslovak Mathematical Journal
PY  - 2002
SP  - 225
EP  - 235
VL  - 52
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMJ_2002__52_2_a0/
LA  - en
ID  - CMJ_2002__52_2_a0
ER  - 
%0 Journal Article
%A Anić, I.
%A Mateljević, M.
%A Šarić, D.
%T Extremal metrics and modulus
%J Czechoslovak Mathematical Journal
%D 2002
%P 225-235
%V 52
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMJ_2002__52_2_a0/
%G en
%F CMJ_2002__52_2_a0
Anić, I.; Mateljević, M.; Šarić, D. Extremal metrics and modulus. Czechoslovak Mathematical Journal, Tome 52 (2002) no. 2, pp. 225-235. http://geodesic.mathdoc.fr/item/CMJ_2002__52_2_a0/