Compactness, existence and multiplicity for the singular mean field problem with sign-changing potentials
Analysis of PDEs
2017-07-21 v3
Abstract
In this paper we consider a mean field problem on a compact surface with conical singularities. This problem appears in the Gaussian curvature prescription problem in Geometry, and also in the Electroweak Theory and in the abelian Chern-Simons-Higgs model in Physics. In this paper we focus on the case of sign-changing potentials, and we give results on compactness, existence and multiplicity of solutions.
Keywords
Cite
@article{arxiv.1612.02080,
title = {Compactness, existence and multiplicity for the singular mean field problem with sign-changing potentials},
author = {Francesca De Marchis and Rafael López-Soriano and David Ruiz},
journal= {arXiv preprint arXiv:1612.02080},
year = {2017}
}