A1 Refereed original research article in a scientific journal
Isoperimetric properties of condenser capacity
Authors: Nasser Mohamed M.S., Vuorinen Matti
Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCE
Publication year: 2021
Journal: Journal of Mathematical Analysis and Applications
Journal acronym: J MATH ANAL APPL
Article number: ARTN 125050
Volume: 499
Issue: 1
Number of pages: 25
ISSN: 0022-247X
eISSN: 1096-0813
DOI: https://doi.org/10.1016/j.jmaa.2021.125050
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/55225370
Abstract
For 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.
For 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.
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