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...
محفوظ في:
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| مؤلفون آخرون: | |
| منشور في: |
2021
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| _version_ | 1864513561779240960 |
|---|---|
| author | Mohamed M.S. Nasser (16931772) |
| author2 | Matti Vuorinen (14152230) |
| author2_role | author |
| author_facet | Mohamed M.S. Nasser (16931772) Matti Vuorinen (14152230) |
| author_role | author |
| dc.creator.none.fl_str_mv | Mohamed M.S. Nasser (16931772) Matti Vuorinen (14152230) |
| dc.date.none.fl_str_mv | 2021-07-01T00:00:00Z |
| dc.identifier.none.fl_str_mv | 10.1016/j.jmaa.2021.125050 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/Isoperimetric_properties_of_condenser_capacity/24083166 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Mathematical sciences Numerical and computational mathematics Pure mathematics 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 | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <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> |
| eu_rights_str_mv | openAccess |
| id | Manara2_cc2882344a1ee94d3fb216d9c0a99059 |
| identifier_str_mv | 10.1016/j.jmaa.2021.125050 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/24083166 |
| publishDate | 2021 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | Isoperimetric properties of condenser capacityMohamed M.S. Nasser (16931772)Matti Vuorinen (14152230)Mathematical sciencesNumerical and computational mathematicsPure mathematicsCondenser capacityHyperbolic metricIsoperimetric problemsNumerical computationBoundary integral equation<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>2021-07-01T00:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1016/j.jmaa.2021.125050https://figshare.com/articles/journal_contribution/Isoperimetric_properties_of_condenser_capacity/24083166CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/240831662021-07-01T00:00:00Z |
| spellingShingle | Isoperimetric properties of condenser capacity Mohamed M.S. Nasser (16931772) Mathematical sciences Numerical and computational mathematics Pure mathematics 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 | Mathematical sciences Numerical and computational mathematics Pure mathematics Condenser capacity Hyperbolic metric Isoperimetric problems Numerical computation Boundary integral equation |