We consider a singular Liouville equation on a compact surface, arising from the study of Chern{Simons vortices in a self-dual regime. Using new improved versions of the Moser{Trudinger inequalities (whose main feature is to be scaling invariant) and a variational scheme, we prove new existence results.
New improved Moser-Trudinger inequalities and singular Liouville equations on compact surfaces
MALCHIODI, ANDREA;
2011
Abstract
We consider a singular Liouville equation on a compact surface, arising from the study of Chern{Simons vortices in a self-dual regime. Using new improved versions of the Moser{Trudinger inequalities (whose main feature is to be scaling invariant) and a variational scheme, we prove new existence results.File in questo prodotto:
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