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 language||English (US)|
|Number of pages||27|
|Journal||Communications in Mathematical Physics|
|State||Published - Feb 1 2009|