Let (M; g) be a smooth compact, n dimensional Riemannian manifold, n=3,4 with boundary which is the union of a finite number of connected, smooth, boundaryless, n - 1 submanifolds embedded in M. We search for the positive solutions of the Klein Gordon Maxwell Proca system with homogeneous Neumann boundary conditions. We show that C^1 stable critical points of the mean curvature of the manifolds generate solutions.
Nonlinear Klein-Gordon-Maxwell systems with Neumann boundary conditions on a Riemannian manifold with boundary
GHIMENTI, MARCO GIPO;MICHELETTI, ANNA MARIA
2015-01-01
Abstract
Let (M; g) be a smooth compact, n dimensional Riemannian manifold, n=3,4 with boundary which is the union of a finite number of connected, smooth, boundaryless, n - 1 submanifolds embedded in M. We search for the positive solutions of the Klein Gordon Maxwell Proca system with homogeneous Neumann boundary conditions. We show that C^1 stable critical points of the mean curvature of the manifolds generate solutions.File in questo prodotto:
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