Multiplicity results for the two-vortex Chern-Simons Higgs model on the two-sphere (Q1284461)

Summary: We consider a Ginzburg-Landau type functional on \(S^2\) with a 6-th order potential and the corresponding selfduality equations. We study the limiting behavior in the two vortex case when a coupling parameter tends to zero. This two vortex case is a limiting case for the Moser inequality, and we correspondingly detect a rich and varied asymptotic behavior depending on the position of the vortices. We exploit analogies with the Nirenberg problem for the prescribed Gauss curvature equation on \(S^2\).