ANALYTICAL, GEOMETRICAL AND TOPOLOGICAL ASPECTS OF A CLASS OF MEAN FIELD EQUATIONS ON SURFACES

作者：Tarantello Gabriella^*

来源：Discrete and Continuous Dynamical Systems, 2010, 28(3): 931-973.

DOI：10.3934/dcds.2010.28.931

• Mean field equations of Liouville type with singular sources
• surfaces with conical singularies
• electroweak vortices

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.

• 出版日期2010-11