TY - JOUR
T1 - A class of existence results for the singular Liouville equation
JF - Comptes Rendus Mathematique 349 (2011) 161-166
Y1 - 2011
A1 - Alessandro Carlotto
A1 - Andrea Malchiodi
AB - We consider a class of elliptic PDEs on closed surfaces with exponential nonlinearities and Dirac deltas on the right-hand side. The study arises from abelian Chernâ€“Simons theory in self-dual regime, or from the problem of prescribing the Gaussian curvature in presence of conical singularities. A general existence result is proved using global variational methods: the analytic problem is reduced to a topological problem concerning the contractibility of a model space, the so-called space of formal barycenters, characterizing the very low sublevels of a suitable functional.
PB - Elsevier
UR - http://hdl.handle.net/1963/5793
U1 - 5648
U2 - Mathematics
U3 - Functional Analysis and Applications
U4 - -1
ER -