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Andrea Malchiodi

2011-01-13
11:30:00 - 12:20:00

R102 , Astronomy and Mathematics Building

We consider a singular Liouville Equation on a compact surface motiveted by the study of self-dual Chern-Simons equations in an abelian regime and by the gaussian curvature prescription for surfaces with conical singularities. Using a new, scaling invariant, improved Moser-Trudinger inequality we prove existence of solutions using variational techniques.