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.
Boundary integral equation, Condenser capacity, Isoperimetric problems, Numerical computation
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