Article Contents

2014, Volume 34, Issue 7: 2703-2728. Doi: 10.3934/dcds.2014.34.2703

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Bubbling solutions for the Chern-Simons gauged $O(3)$ sigma model in $\mathbb{R}^2$

1.
Department of Mathematics, Inha University, Incheon, 402-751
2.
Department of Mathematics and Research Institute for Basic Sciences, Kyung Hee University, 1 Hoegi-Dong, Dongdaemun-Gu, Seoul, 130-701
3.
Taida Institute for Mathematical Sciences(TIMS), National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei, 106

Received: May 2013

Revised: October 2013

Published: July 2014

Abstract / Introduction Related Papers Cited by

Abstract

In this paper, we construct multivortex solutions of the elliptic governing equation for the self-dual Chern-Simons gauged $O(3)$ sigma model in $\mathbb{R}^2$ when the Chern-Simons coupling parameter is sufficiently small, and the location of singular points satisfy suitable conditions. Our solutions show concentration phenomena at some points of the singular points as the coupling parameter tends to zero, and they are locally asymptotically radial near each blow-up point.

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Mathematics Subject Classification: Primary: 81T13, 35B40.

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References

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