A note on a multiplicity result for the mean field equation on compact surfaces
Analysis of PDEs
2017-03-07 v3
Abstract
We are concerned with a Liouville-type equation with exponential nonlinearities on a compact surface which describes the mean field equation of the equilibrium turbulence with arbitrarily signed vortices. We provide the first multiplicity result for this class of equations by using Morse theory.
Keywords
Cite
@article{arxiv.1411.2899,
title = {A note on a multiplicity result for the mean field equation on compact surfaces},
author = {Aleks Jevnikar},
journal= {arXiv preprint arXiv:1411.2899},
year = {2017}
}