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arXiv · 1303.6498

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

Marco Ghimenti·Anna Maria Micheletti
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Abstract

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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Marco Ghimenti, Anna Maria Micheletti. 2013-03-26. Number and profile of low energy solutions for singularly perturbed Klein Gordon Maxwell systems on a Riemannian manifold. https://arxiv.org/abs/1303.6498

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