Isoperimetric properties of condenser capacity
| Author | Mohamed M.S., Nasser |
| Author | Vuorinen, Matti |
| Available date | 2024-03-12T10:06:51Z |
| Publication Date | 2021-02-17 |
| Publication Name | Journal of Mathematical Analysis and Applications |
| Identifier | http://dx.doi.org/10.1016/j.jmaa.2021.125050 |
| Citation | Nasser, M. M., & Vuorinen, M. (2021). Isoperimetric properties of condenser capacity. Journal of Mathematical Analysis and Applications, 499(1), 125050. |
| ISSN | 0022-247X |
| 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. |
| Language | en |
| Publisher | Elsevier |
| Subject | Condenser capacity Hyperbolic metric Isoperimetric problems Numerical computation Boundary integral equation |
| Type | Article |
| Issue Number | 1 |
| Volume Number | 499 |
| Open Access user License | http://creativecommons.org/licenses/by/4.0/ |
| ESSN | 1096-0813 |
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Mathematics, Statistics & Physics [687 items ]