Isoperimetric properties of condenser capacity



: Nasser Mohamed M.S., Vuorinen Matti

Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCE

: 2021

: Journal of Mathematical Analysis and Applications

: J MATH ANAL APPL

: ARTN 125050

: 499

: 1

: 25

: 0022-247X

: 1096-0813

DOI: https://doi.org/10.1016/j.jmaa.2021.125050

: https://research.utu.fi/converis/portal/detail/Publication/55225370


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. 

Last updated on 2024-26-11 at 13:50