On a Yang-Mills Type Functional
We study a functional that derives from the classical Yang-Mills functional and Born-Infeld theory. We establish its first variation formula and prove the existence of critical points. We also obtain the second variation formula.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2019 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2019
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/210053 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On a Yang-Mills Type Functional / C. Gherghe // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 4 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862562063053750272 |
|---|---|
| author | Gherghe, C. |
| author_facet | Gherghe, C. |
| citation_txt | On a Yang-Mills Type Functional / C. Gherghe // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 4 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We study a functional that derives from the classical Yang-Mills functional and Born-Infeld theory. We establish its first variation formula and prove the existence of critical points. We also obtain the second variation formula.
|
| first_indexed | 2025-12-07T21:24:13Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210053 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T21:24:13Z |
| publishDate | 2019 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Gherghe, C. 2025-12-02T09:29:07Z 2019 On a Yang-Mills Type Functional / C. Gherghe // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 4 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 58E15; 81T13; 53C07 arXiv: 1811.01517 https://nasplib.isofts.kiev.ua/handle/123456789/210053 https://doi.org/10.3842/SIGMA.2019.022 We study a functional that derives from the classical Yang-Mills functional and Born-Infeld theory. We establish its first variation formula and prove the existence of critical points. We also obtain the second variation formula. The author thanks the referees for very carefully reading a first version of the paper and for their useful suggestions. This work is partially supported by a Grant of the Ministry of Research and Innovation, CNCS - UEFISCDI, Project Number PN-III-P4-ID-PCE-2016-0065, within PNCDI III. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On a Yang-Mills Type Functional Article published earlier |
| spellingShingle | On a Yang-Mills Type Functional Gherghe, C. |
| title | On a Yang-Mills Type Functional |
| title_full | On a Yang-Mills Type Functional |
| title_fullStr | On a Yang-Mills Type Functional |
| title_full_unstemmed | On a Yang-Mills Type Functional |
| title_short | On a Yang-Mills Type Functional |
| title_sort | on a yang-mills type functional |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210053 |
| work_keys_str_mv | AT gherghec onayangmillstypefunctional |