Isoperimetric properties of condenser capacity
2020
Online
report
Zugriff:
For compact subsets $E$ of the unit disk $ \mathbb{D}$ we study the capacity of the condenser ${\rm cap}( \mathbb{D},E)$ 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.
Titel: |
Isoperimetric properties of condenser capacity
|
---|---|
Autor/in / Beteiligte Person: | Nasser, Mohamed M. S. ; Vuorinen, Matti |
Link: | |
Veröffentlichung: | 2020 |
Medientyp: | report |
Schlagwort: |
|
Sonstiges: |
|