Isoperimetric properties of condenser capacity
<p dir="ltr">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 t...
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2021
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| الملخص: | <p dir="ltr">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.</p><h2>Other Information</h2><p dir="ltr">Published in: Journal of Mathematical Analysis and Applications<br>License: <a href="http://creativecommons.org/licenses/by/4.0/" target="_blank">http://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1016/j.jmaa.2021.125050" target="_blank">https://dx.doi.org/10.1016/j.jmaa.2021.125050</a></p> |
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