A survey of solutions in a gravitational Born-Infeld theory

被引：1

作者：

Chern, Jann-Long ^{[1
]}

Yang, Sze-Guang ^{[1
]}

机构：

[1] Natl Cent Univ, Dept Math, Chungli 32001, Taiwan

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2014年 / 55卷 / 03期

关键词：

GAUSSIAN CURVATURE;

D O I：

10.1063/1.4867618

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An elliptic equation that arises from a cosmic string model with the action of the Born-Infeld nonlinear electromagnetism, is considered. We classify and establish the uniqueness of radially symmetric solutions. (C) 2014 AIP Publishing LLC.

引用

页数：24

共 5 条

[1] Non-topological multi-vortex solutions to the self-dual Chern-Simons-Higgs equation
Chan, H
Fu, CC
Lin, CS
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2002, 231 (02) : 189 - 221
[2] QUALITATIVE PROPERTIES OF SOLUTIONS TO SOME NONLINEAR ELLIPTIC-EQUATIONS IN R(2)
CHEN, WX
LI, CM
[J]. DUKE MATHEMATICAL JOURNAL, 1993, 71 (02) : 427 - 435
[3] CONFORMAL METRICS WITH PRESCRIBED GAUSSIAN CURVATURE ON S2
CHENG, KS
SMOLLER, JA
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 336 (01) : 219 - 251
[4] On the conformal Gaussian curvature equation in R2
Cheng, KS
Lin, CS
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1998, 146 (01) : 226 - 250
[5] Gauged harmonic maps, Born-Infeld electromagnetism, and magnetic vortices
Lin, FH
Yang, YS
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2003, 56 (11) : 1631 - 1665

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