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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Бібліографічні деталі
Опубліковано в: :Symmetry, Integrability and Geometry: Methods and Applications
Дата:2019
Автор: Gherghe, C.
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут математики НАН України 2019
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/210053
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:On a Yang-Mills Type Functional / C. Gherghe // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 4 назв. — англ.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
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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.
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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.
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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