Analytical, geometrical and topological aspects of a class of mean field equations on surfaces
Gabriella Tarantello - Universitá degli Studi di Roma "Tor Vergata”, Dipartimento di Matematica, Via della Ricerca Scientifica, Roma, Italy (email)
Abstract: We present some recent results on mean field equations of Liouville type over a closed surface, in presence of Dirac distributions supported at the so called "vortex points". We discuss possible existence and non-existence results as well as uniqueness and multiplicity issues according to the topological and geometrical properties of the surface.
Keywords: Mean field equations of Liouville type with singular sources, surfaces with conical
singularies, electroweak vortices.
Received: March 2010; Revised: April 2010; Available Online: April 2010.
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