Isoperimetric properties of condenser capacity
الملخص
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.
معرّف المصادر الموحد
https://www.sciencedirect.com/science/article/pii/S0022247X21001293المجموعات
- الرياضيات والإحصاء والفيزياء [722 items ]