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[Untitled]

Source :
Journal of Mathematical Analysis and Applications.

Abstract

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.

Details

ISSN :
0022247X
Database :
OpenAIRE
Journal :
Journal of Mathematical Analysis and Applications
Accession number :
edsair.doi...........311964a8a23309df5fd9281dd3432085