216 citations · 380 across the 52 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…
Sharp lower bounds for Coulomb energy
Jacopo Bellazzini, Marco Ghimenti, Tohru Ozawa
We prove lower bounds for Coulomb energy for radially symmetric functions in with . In case we show that the lo…
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…