Solutions to the master equations governing fractional vortices

被引：3

作者：

Lin, Chang-Shou ^{[2
]}

Tarantello, Gabriella ^{[3
]}

Yang, Yisong ^{[1
,4
]}

机构：

[1] NYU, Polytech Inst, Dept Math, Brooklyn, NY 11201 USA

[2] Natl Taiwan Univ, Dept Math, Taipei 10617, Taiwan

[3] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

[4] Henan Univ, Sch Math, Inst Contemporary Math, Kaifeng 475004, Henan, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年 / 254卷 / 03期

关键词：

CHERN-SIMONS-HIGGS; MEAN-FIELD EQUATIONS; NON-ABELIAN VORTICES; LIOUVILLE TYPE; SINGULAR DATA; CONFINEMENT; EXISTENCE; MONOPOLES; SUPERCONDUCTORS; MULTIVORTICES;

D O I：

10.1016/j.jde.2012.10.023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By means of variational methods, in this paper, we establish sharp existence results for solutions of the master equations governing 'fractional multiple vortices.' In the doubly periodic situation, the conditions for existence are both necessary and sufficient and give the upper bounds for the vortex numbers in terms of the size of the periodic cell domain. In the planar situation, there is no restriction on the vortex numbers. In both situations, the solutions are uniquely determined by the prescribed locations and the local winding numbers of the vortices. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1437 / 1463

页数：27

共 47 条

[1] ABRIKOSOV AA, 1957, SOV PHYS JETP-USSR, V5, P1174
[2] Aubin T., 1982, Monge-Ampere Equations, V252
[3] Nonabelian superconductors:: vortices and confinement in N=2 SQCD
Auzzi, R
Bolognesi, S
Evslin, J
Konishi, K
Yung, A
[J]. NUCLEAR PHYSICS B, 2003, 673 (1-2) : 187 - 216
[4] Liouville type equations with singular data and their applications to periodic multivortices for the Electroweak Theory
Bartolucci, D
Thrantello, G
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2002, 229 (01) : 3 - 47
[5] BOGOMOLNYI EB, 1976, SOV J NUCL PHYS+, V24, P449
[6] VORTEX CONDENSATION IN THE CHERN-SIMONS HIGGS-MODEL - AN EXISTENCE THEOREM
CAFFARELLI, LA
YANG, YS
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1995, 168 (02) : 321 - 336
[7] On planar selfdual electroweak vortices
Chae, DG
Tarantello, G
[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2004, 21 (02): : 187 - 207
[8] The inequality of Moser and Trudinger and applications to conformal geometry
Chang, SYA
Yang, PC
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2003, 56 (08) : 1135 - 1150
[9] PRESCRIBING GAUSSIAN CURVATURE ON S2
CHANG, SYA
YANG, PC
[J]. ACTA MATHEMATICA, 1987, 159 (3-4) : 215 - 259
[10] CHANG SYA, 1988, J DIFFER GEOM, V27, P259

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