Variational principle for the Seiberg-Witten equations

被引：0

作者：

Doria, CM ^{[1
]}

机构：

[1] Univ Fed Santa Catarina, Dept Matemat, BR-88040900 Florianopolis, SC, Brazil

来源：

Contributions to Nonlinear Analysis: A TRIBUTE TO D. G. DE FIGUEIREDO ON THE OCCASION OF HIS 70TH BIRTHDAY | 2006年 / 66卷

关键词：

connections; gauge fields; 4-manifolds;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Originally, the Seiberg-Witten equations were described to be dual to the Yang-Mills equation. The aim of this article is to present a Variational Principle for the SW-equation and some of their analytical properties, including the Palais-Smale Condition.

引用

页码：247 / 261

页数：15

共 50 条

[1] On a system of Seiberg-Witten equations
Massamba, F
Thompson, G
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2006, 56 (04) : 643 - 665
[2] Variational aspects of the Seiberg-Witten functional
Jost, J
Peng, XW
Wang, GF
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 1996, 4 (03) : 205 - 218
[3] The Seiberg-Witten equations on Hermitian surfaces
Lupascu, P
[J]. MATHEMATISCHE NACHRICHTEN, 2002, 242 : 132 - 147
[4] Seiberg-Witten invariants and vortex equations
Garcia-Prada, O
[J]. SYMETRIES QUANTIQUES: LXIVTH SESSION OF THE LES HOUCHES SUMMER SCHOOL, 1998, : 885 - 934
[5] WDVV equations and Seiberg-Witten theory
Mironov, A
[J]. INTEGRABILITY: THE SEIBERG-WITTEN AND WHITHAM EQUATIONS, 2000, : 103 - 123
[6] SEIBERG-WITTEN EQUATIONS WITH NEGATIVE SING
Degirmenci, Nedim
Ozdemir, Nulifer
[J]. INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2010, 3 (02): : 40 - 48
[7] The geometry and physics of the Seiberg-Witten equations
Wu, SY
[J]. GEOMETRIC ANALYSIS AND APPLICATIONS TO QUANTUM FIELD THEORY, 2002, 205 : 157 - 203
[8] The perturbation of the Seiberg-Witten equations revisited
Furuta, Mikio
Matsuo, Shinichiroh
[J]. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2016, 68 (04) : 1655 - 1668
[9] Witten triples and the Seiberg-Witten equations on a complex surface
Dürr, M
[J]. MATHEMATISCHE NACHRICHTEN, 2005, 278 (1-2) : 53 - 76
[10] SEIBERG-WITTEN EQUATIONS AND PSEUDOHOLOMORPHIC CURVES
Sergeev, Armen
[J]. JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS, 2006, 5 : 106 - 117

← 1 2 3 4 5 →