1303.6498 (Marco Ghimenti et al.)

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

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.

View original: http://arxiv.org/abs/1303.6498