A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Isoperimetric properties of condenser capacity
Tekijät: Nasser Mohamed M.S., Vuorinen Matti
Kustantaja: ACADEMIC PRESS INC ELSEVIER SCIENCE
Julkaisuvuosi: 2021
Lehti: Journal of Mathematical Analysis and Applications
Lehden akronyymi: J MATH ANAL APPL
Artikkelin numero: ARTN 125050
Vuosikerta: 499
Numero: 1
Sivujen määrä: 25
ISSN: 0022-247X
eISSN: 1096-0813
DOI: https://doi.org/10.1016/j.jmaa.2021.125050
Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/55225370
Tiivistelmä
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.
Avainsanat:
Boundary integral equation, Condenser capacity, Isoperimetric problems, Numerical computation
Ladattava julkaisu This is an electronic reprint of the original article. |  |
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