Isoperimetric properties of condenser capacity
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 hyperbo...
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2021
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| Online Access: | http://dx.doi.org/10.1016/j.jmaa.2021.125050 https://www.sciencedirect.com/science/article/pii/S0022247X21001293 http://hdl.handle.net/10576/52958 |
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| _version_ | 1857415084508184576 |
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| author | Mohamed M.S., Nasser |
| author2 | Vuorinen, Matti |
| author2_role | author |
| author_facet | Mohamed M.S., Nasser Vuorinen, Matti |
| author_role | author |
| dc.creator.none.fl_str_mv | Mohamed M.S., Nasser Vuorinen, Matti |
| dc.date.none.fl_str_mv | 2021-02-17 2024-03-12T10:06:51Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | http://dx.doi.org/10.1016/j.jmaa.2021.125050 Nasser, M. M., & Vuorinen, M. (2021). Isoperimetric properties of condenser capacity. Journal of Mathematical Analysis and Applications, 499(1), 125050. 0022-247X https://www.sciencedirect.com/science/article/pii/S0022247X21001293 http://hdl.handle.net/10576/52958 1 499 1096-0813 |
| dc.language.none.fl_str_mv | en |
| dc.publisher.none.fl_str_mv | Elsevier |
| dc.rights.none.fl_str_mv | http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Condenser capacity Hyperbolic metric Isoperimetric problems Numerical computation Boundary integral equation |
| dc.title.none.fl_str_mv | Isoperimetric properties of condenser capacity |
| dc.type.none.fl_str_mv | Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | qu_6c5b86ae53e34d2de590be4c1952929c |
| identifier_str_mv | Nasser, M. M., & Vuorinen, M. (2021). Isoperimetric properties of condenser capacity. Journal of Mathematical Analysis and Applications, 499(1), 125050. 0022-247X 1 499 1096-0813 |
| language_invalid_str_mv | en |
| network_acronym_str | qu |
| network_name_str | Qatar University repository |
| oai_identifier_str | oai:qspace.qu.edu.qa:10576/52958 |
| publishDate | 2021 |
| publisher.none.fl_str_mv | Elsevier |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | http://creativecommons.org/licenses/by/4.0/ |
| spelling | Isoperimetric properties of condenser capacityMohamed M.S., NasserVuorinen, MattiCondenser capacityHyperbolic metricIsoperimetric problemsNumerical computationBoundary integral equationFor 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.Elsevier2024-03-12T10:06:51Z2021-02-17Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1016/j.jmaa.2021.125050Nasser, M. M., & Vuorinen, M. (2021). Isoperimetric properties of condenser capacity. Journal of Mathematical Analysis and Applications, 499(1), 125050.0022-247Xhttps://www.sciencedirect.com/science/article/pii/S0022247X21001293http://hdl.handle.net/10576/5295814991096-0813enhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:qspace.qu.edu.qa:10576/529582024-07-23T15:53:05Z |
| spellingShingle | Isoperimetric properties of condenser capacity Mohamed M.S., Nasser Condenser capacity Hyperbolic metric Isoperimetric problems Numerical computation Boundary integral equation |
| status_str | publishedVersion |
| title | Isoperimetric properties of condenser capacity |
| title_full | Isoperimetric properties of condenser capacity |
| title_fullStr | Isoperimetric properties of condenser capacity |
| title_full_unstemmed | Isoperimetric properties of condenser capacity |
| title_short | Isoperimetric properties of condenser capacity |
| title_sort | Isoperimetric properties of condenser capacity |
| topic | Condenser capacity Hyperbolic metric Isoperimetric problems Numerical computation Boundary integral equation |
| url | http://dx.doi.org/10.1016/j.jmaa.2021.125050 https://www.sciencedirect.com/science/article/pii/S0022247X21001293 http://hdl.handle.net/10576/52958 |