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arXiv · 1612.02080

Compactness, existence and multiplicity for the singular mean field problem with sign-changing potentials

Francesca De Marchis·Rafael López-Soriano·David Ruiz
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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.

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Francesca De Marchis, Rafael López-Soriano, David Ruiz. 2016-12-07. Compactness, existence and multiplicity for the singular mean field problem with sign-changing potentials. https://arxiv.org/abs/1612.02080

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