Multiplicity of solutions for a mean field equation on compact surfaces
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Date
2010-06-29T12:18:35Z
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Abstract
We 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.