Multiplicity of Solutions for a Mean Field Equation on Compact Surfaces
Francesca De Marchis · IRIS Research product catalog (Sapienza University of Rome) · 2011
We consider a scalar field equation on compact surfaces which have variational structure. When the surface is a torus and a physical parameter \\rho belongs to (8\\pi,4\\pi^2), we show under some extra assumptions that, as conjectured in [De Marchis, Comm. PDE 2008], the functional admits at least three saddle points other than a local minimum.