Isoperimetric properties of condenser capacity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:499

Article

Nasser, Mohamed M. S.¹  Vuorinen, Matti² 

[1] Qatar Univ, Dept Math Stat & Phys, POB 2713, Doha, Qatar

[2] Univ Turku, Dept Math & Stat, Turku 20014, Finland

关键词: Condenser capacity;    Hyperbolic metric;    Isoperimetric problems;    Numerical computation;    Boundary integral equation;   

DOI  :  10.1016/j.jmaa.2021.125050

来源: Elsevier

【 摘 要 】

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. (C) 2021 The Author(s). Published by Elsevier Inc.

【 授权许可】

Free