F Ur Mathematik in Den Naturwissenschaften Leipzig Multiplicity Results for the Two-vortex Chern-simons Higgs Model on the Two-sphere Multiplicity Results for the Two-vortex Chern-simons Higgs Model on the Two-sphere
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چکیده
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 .
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تاریخ انتشار 1998