Symmetric Chern-Simons-Higgs vortices

Robin Ming Chen, Daniel Spirn

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


We prove the existence of radially symmetric vortices of the static nonself-dual Chern-Simons-Higgs equations with and without magnetic field in dimension 2. The vortex profiles are shown to be monotonically increasing and bounded. For a given vorticity n, when there is no magnetic field we prove that the n-vortices are stable for n = 0, ±1.

Original languageEnglish (US)
Pages (from-to)1005-1031
Number of pages27
JournalCommunications in Mathematical Physics
Issue number3
StatePublished - Feb 1 2009


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