1. Extremal metrics and modulus
- Creator:
- Anić, I., Mateljević, M., and Šarić, Dragomir
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- extremal distance, conformal capacity, and Beurling theorem
- Language:
- English
- Description:
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public