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

2013/03/26 by Marco Ghimenti, Ghimenti, Marco, Anna Maria Micheletti +1
Mathematics · #Nonlinear Partial Differential Equations #Geometric Analysis and Curvature Flows #Advanced Mathematical Physics Problems

paper · pdf · doi:10.48550/arxiv.1303.6498

Abstract

Given a 3-dimensional Riemannian manifold (M,g), we investigate the existence\nof positive solutions of the nonlinear Klein-Gordon-Maxwell system and\nnonlinear Schroedinger-Maxwell system with subcritical nonlinearity. We prove\nthat the number of one peak solutions depends on the topological properties of\nthe manifold M, by means of the Lusternik Schnirelmann category.\n

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