De Marchis, Francesca2010-06-292011-09-072010-06-292011-09-072010-06-29https://openscience.sissa.it/handle/1963/3887We consider a scalar field equation on compact surfaces which has variational structure. When the surface is a torus and a physical parameter ρ belongs to (8π,4π al quadrato) we show under some extra assumptions that, as conjectured in [8], the functional admits at least three saddle points other than a local minimum.171758 bytesapplication/pdfen-USMultiplicity of solutions for a mean field equation on compact surfacesPreprint