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Existence and uniqueness of topological multivortex solutions of the self-dual Chern-Simons CP(1) model
- Issue Date
- Jun-2007
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Citation
- NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v.66, pp.2794 - 2813
- Journal Title
- NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
- Volume
- 66
- Start Page
- 2794
- End Page
- 2813
- ISSN
- 0362-546X
- Abstract
- In this paper we study the existence and uniqueness of the topological Chem-Simons vortices in the CP(1) model in R-2. After reducing the self-dual equations to semilinear elliptic partial differential equations, we show that a topological solution exists, and it is unique up to a real smooth function if the Chern-Simons coupling constant is sufficiently small. (c) 2006 Elsevier Ltd. All rights reserved.
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Collections - College of Natural Sciences > Department of Mathematics > 1. Journal Articles
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