Condenser capacity and hyperbolic diameter
Given a compact connected set E in the unit disk B2, we give a new upper bound for the conformal capacity of the condenser (B2,E) in terms of the hyperbolic diameter t of E. Moreover, for t>0, we construct a set of hyperbolic diameter t and apply novel numerical methods to show that it has larger...
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| مؤلفون آخرون: | , |
| التنسيق: | article |
| منشور في: |
2021
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| الموضوعات: | |
| الوصول للمادة أونلاين: | http://dx.doi.org/10.1016/j.jmaa.2021.125870 https://www.sciencedirect.com/science/article/pii/S0022247X21009525 http://hdl.handle.net/10576/52959 |
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| _version_ | 1857415087556395008 |
|---|---|
| author | Mohamed M.S., Nasser |
| author2 | Rainio, Oona Vuorinen, Matti |
| author2_role | author author |
| author_facet | Mohamed M.S., Nasser Rainio, Oona Vuorinen, Matti |
| author_role | author |
| dc.creator.none.fl_str_mv | Mohamed M.S., Nasser Rainio, Oona Vuorinen, Matti |
| dc.date.none.fl_str_mv | 2021-11-26 2024-03-12T10:16:29Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | http://dx.doi.org/10.1016/j.jmaa.2021.125870 Nasser, M. M., Rainio, O., & Vuorinen, M. (2022). Condenser capacity and hyperbolic diameter. Journal of Mathematical Analysis and Applications, 508(1), 125870. 0022-247X https://www.sciencedirect.com/science/article/pii/S0022247X21009525 http://hdl.handle.net/10576/52959 1 508 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 | Boundary integral equation Condenser capacity Hyperbolic geometry Isoperimetric inequality Jung radius Reuleaux triangle |
| dc.title.none.fl_str_mv | Condenser capacity and hyperbolic diameter |
| dc.type.none.fl_str_mv | Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | Given a compact connected set E in the unit disk B2, we give a new upper bound for the conformal capacity of the condenser (B2,E) in terms of the hyperbolic diameter t of E. Moreover, for t>0, we construct a set of hyperbolic diameter t and apply novel numerical methods to show that it has larger capacity than a hyperbolic disk with the same diameter. The set we construct is called a Reuleaux triangle in hyperbolic geometry and it has constant hyperbolic width equal to t. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | qu_1feab6a351295d95add47a91d4bc90ea |
| identifier_str_mv | Nasser, M. M., Rainio, O., & Vuorinen, M. (2022). Condenser capacity and hyperbolic diameter. Journal of Mathematical Analysis and Applications, 508(1), 125870. 0022-247X 1 508 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:10576/52959 |
| 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 | Condenser capacity and hyperbolic diameterMohamed M.S., NasserRainio, OonaVuorinen, MattiBoundary integral equationCondenser capacityHyperbolic geometryIsoperimetric inequalityJung radiusReuleaux triangleGiven a compact connected set E in the unit disk B2, we give a new upper bound for the conformal capacity of the condenser (B2,E) in terms of the hyperbolic diameter t of E. Moreover, for t>0, we construct a set of hyperbolic diameter t and apply novel numerical methods to show that it has larger capacity than a hyperbolic disk with the same diameter. The set we construct is called a Reuleaux triangle in hyperbolic geometry and it has constant hyperbolic width equal to t.Elsevier2024-03-12T10:16:29Z2021-11-26Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1016/j.jmaa.2021.125870Nasser, M. M., Rainio, O., & Vuorinen, M. (2022). Condenser capacity and hyperbolic diameter. Journal of Mathematical Analysis and Applications, 508(1), 125870.0022-247Xhttps://www.sciencedirect.com/science/article/pii/S0022247X21009525http://hdl.handle.net/10576/5295915081096-0813enhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:qspace.qu.edu.qa:10576/529592024-07-23T15:53:05Z |
| spellingShingle | Condenser capacity and hyperbolic diameter Mohamed M.S., Nasser Boundary integral equation Condenser capacity Hyperbolic geometry Isoperimetric inequality Jung radius Reuleaux triangle |
| status_str | publishedVersion |
| title | Condenser capacity and hyperbolic diameter |
| title_full | Condenser capacity and hyperbolic diameter |
| title_fullStr | Condenser capacity and hyperbolic diameter |
| title_full_unstemmed | Condenser capacity and hyperbolic diameter |
| title_short | Condenser capacity and hyperbolic diameter |
| title_sort | Condenser capacity and hyperbolic diameter |
| topic | Boundary integral equation Condenser capacity Hyperbolic geometry Isoperimetric inequality Jung radius Reuleaux triangle |
| url | http://dx.doi.org/10.1016/j.jmaa.2021.125870 https://www.sciencedirect.com/science/article/pii/S0022247X21009525 http://hdl.handle.net/10576/52959 |