Wednesday, March 27, 2013

1303.6498 (Marco Ghimenti et al.)

Number and profile of low energy solutions for singularly perturbed
Klein Gordon Maxwell systems on a Riemannian manifold

Marco Ghimenti, Anna Maria Micheletti
Given a 3-dimensional Riemannian manifold (M,g), we investigate the existence of positive solutions of the nonlinear Klein-Gordon-Maxwell system and nonlinear Schroedinger-Maxwell system with subcritical nonlinearity. We prove that the number of one peak solutions depends on the topological properties of the manifold M, by means of the Lusternik Schnirelmann category.
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