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

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 Added by Marco Ghimenti Dr
 Publication date 2013
  fields Physics
and research's language is English




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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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