1-s2.0-S0022247X21001293-main.pdf (1.19 MB)
Isoperimetric properties of condenser capacity
journal contribution
submitted on 2023-09-05, 06:40 and posted on 2023-09-19, 08:20 authored by Mohamed M.S. Nasser, Matti VuorinenFor compact subsets E of the unit disk D we study the capacity of the condenser (D, E) by means of set functionals defined in terms of hyperbolic geometry. In particular, we study experimentally the case of a hyperbolic triangle and arrive at the conjecture that of all triangles with the same hyperbolic area, the equilateral triangle has the least capacity.
Other Information
Published in: Journal of Mathematical Analysis and Applications
License: http://creativecommons.org/licenses/by/4.0/
See article on publisher's website: https://dx.doi.org/10.1016/j.jmaa.2021.125050
Funding
Open Access funding provided by the Qatar National Library
History
Language
- English
Publisher
ElsevierPublication Year
- 2021
License statement
This Item is licensed under the Creative Commons Attribution 4.0 International LicenseInstitution affiliated with
- Qatar University
- College of Arts and Sciences - QU
