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Non-topological solutions in the generalized self-dual Chern-Simons-Higgs theory
- Authors
- Chae, D; Imanuvilov, OY
- Issue Date
- Jan-2003
- Publisher
- SPRINGER-VERLAG
- Citation
- CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, v.16, no.1, pp 47 - 61
- Pages
- 15
- Journal Title
- CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
- Volume
- 16
- Number
- 1
- Start Page
- 47
- End Page
- 61
- ISSN
- 0944-2669
1432-0835
- Abstract
- In this paper we construct a non-topological multivortex solution of a generalized version of the relativistic self-dual Chern-Simons-Higgs system in R-2 that makes the energy functional finite. Our method of proof is an extension of the previous argument used by the authors to prove the existence of general type of non-topological multivortex solutions of the relativistic Chern-Simons-Higgs system, using an implicit function theorem argument with features similar to the Liapunov-Schmidt decomposition.
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