15 citations · 46 across the 36 of their papers we have counts for
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Nonlinear Klein-Gordon-Maxwell systems with Neumann boundary conditions on a Riemannian manifold with boundary
Marco Ghimenti, Anna Maria Micheletti
Let (M,g) be a smooth compact, n dimensional Riemannian manifold, n=3,4 with smooth n-1 dimensional boundary. We search the positive solutions of the singularly perturbed Klein Gor…
Construction of solutions for a nonlinear elliptic problem on Riemannian manifolds with boundary
Marco G. Ghimenti, Anna Maria Micheletti
Let (M,g) be a smooth compact, n dimensional Riemannian manifold,with smooth n-1 dimensional boundary. We prove that the stable critical points of the mean curvature of the boundar…
Low energy solutions for singularly perturbed coupled nonlinear systems on a Riemannian manifold with boundary
Marco Ghimenti, Anna Maria Micheletti
Let (M,g) be asmooth, compact Riemannian manifold with smooth boundary, with n= dim M= 2,3. We suppose the boundary of M to be a smooth submanifold of M with dimension n-1. We cons…
Semiclassical states for a static supercritical Klein-Gordon-Maxwell-Proca system on a closed Riemannian manifold
Monica Clapp, Marco Ghimenti, Anna Maria Micheletti
We establish the existence of semiclassical states for a nonlinear Klein-Gordon-Maxwell-Proca system in static form, with Proca mass 1 on a closed Riemannian manifold. Our results…
Solutions to a singularly perturbed supercritical elliptic equation on a Riemannian manifold concentrating at a submanifold
Monica Clapp, Marco Ghimenti, Anna Maria Micheletti
Given a smooth Riemannian manifold (M,g)we investigate the existence of positive solutions to a singularly perturbed supercritical elliptic equation which concentrate at some subma…