Isoperimetric properties of condenser capacity
Nasser Mohamed M.S.; Vuorinen Matti
Isoperimetric properties of condenser capacity
Nasser Mohamed M.S.
Vuorinen Matti
ACADEMIC PRESS INC ELSEVIER SCIENCE
Julkaisun pysyvä osoite on:
https://urn.fi/URN:NBN:fi-fe2021093048344
https://urn.fi/URN:NBN:fi-fe2021093048344
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.
Kokoelmat
- Rinnakkaistallenteet [19207]