Variational methods for singular Liouville equations

Abstract

In this note we consider a singular Liouville equation on compact surfaces, arising from the study of Chern-Simons vortices. Using improved versions of the Moser-Trudinger inequality and a min-max scheme, we prove existence of solutions in cases with lack of coercivity. Full details and further references can be found in the forthcoming paper [17].

Locations

• Rendiconti Lincei Matematica e Applicazioni - View - PDF