Estimations of plane capacitor capacitances
We derive an exact lower estimate for the capacity of a plane condenser in terms of logarithmic capacities of the boundary sets of its plates and study the case of an equality.
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| Date: | 2025 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2025
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/9356 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513509179129856 |
|---|---|
| author | Zoriy , N. V. Зорий , Н. В. |
| author_facet | Zoriy , N. V. Зорий , Н. В. |
| author_sort | Zoriy , N. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-06-30T14:20:55Z |
| description | We derive an exact lower estimate for the capacity of a plane condenser in terms of logarithmic capacities of the boundary sets of its plates and study the case of an equality. |
| first_indexed | 2026-03-24T03:45:48Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-9356 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:45:48Z |
| publishDate | 2025 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/f4/2d343c3fca8ca9a98a368735fc1314f4.pdf |
| spelling | umjimathkievua-article-93562025-06-30T14:20:55Z Estimations of plane capacitor capacitances Оценки емкостей плоских конденсаторов Zoriy , N. V. Зорий , Н. В. - We derive an exact lower estimate for the capacity of a plane condenser in terms of logarithmic capacities of the boundary sets of its plates and study the case of an equality. Получена точная нижняя оценка емкости плоского конденсатора через логарифмические емкости граничных множеств его пластин; исследован случай равенства. Здобута точна нижня оцінка ємності плоского конденсатора через логарифмічні ємності крайових множин його пластин; досліджений випадок рівності. Institute of Mathematics, NAS of Ukraine 2025-06-30 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/9356 Ukrains’kyi Matematychnyi Zhurnal; Vol. 43 No. 2 (1991) Український математичний журнал; Том 43 № 2 (1991) 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/9356/10506 Copyright (c) 2025 Н. В. Зорий |
| spellingShingle | Zoriy , N. V. Зорий , Н. В. Estimations of plane capacitor capacitances |
| title | Estimations of plane capacitor capacitances |
| title_alt | Оценки емкостей плоских конденсаторов |
| title_full | Estimations of plane capacitor capacitances |
| title_fullStr | Estimations of plane capacitor capacitances |
| title_full_unstemmed | Estimations of plane capacitor capacitances |
| title_short | Estimations of plane capacitor capacitances |
| title_sort | estimations of plane capacitor capacitances |
| topic_facet | - |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9356 |
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