activity
20072026
most citedOn the Dynamics of solitons in the nonlinear Schroedinger equation

15 citations · 46 across the 36 of their papers we have counts for

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Showing 2013Show all

6 papers · 1 filter

math-ph2013

Low energy solutions for the semiclassical limit of Schroedinger Maxwell systems

Marco Ghimenti, Anna Maria Micheletti

We show that the number of solutions of Schroedinger Maxwell system on a smooth bounded domain in R^3 depends on the topological properties of the domain. In particular we consider…

math.AP2013

Non degeneracy of critical points of the Robin function with respect to deformations of the domain

Anna Maria Micheletti, Angela Pistoia

We show a result of genericity for non degenerate critical points of the Robin function with respect to deformations of the domain

math.AP2013

Nondegeneracy of critical points of the mean curvature of the boundary for Riemannian manifolds

Marco Ghimenti, Anna Maria Micheletti

Let be a compact smooth Riemannian manifold of finite dimension with boundary and is a compact -dimensional submanifold of . We show that f…

math-ph2013

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

Marco Ghimenti, Anna Maria Micheletti

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…

math-ph2013

The role of the scalar curvature in some singularly perturbed coupled elliptic systems on Riemannian manifolds

Marco Ghimenti, Anna Maria Micheletti, Angela Pistoia

Given a 3-dimensional Riemannian manifold (M,g), we investigate the existence of positive solutions of singularly perturbed Klein-Gordon-Maxwell systems and Schroedinger-Maxwell sy…

math.AP2013

Multiplicity and asymptotic profile of 2-nodal solutions to a semilinear elliptic problem on a Riemannian manifold

Mónica Clapp, Anna Maria Micheletti

We establish a lower bound for the number of sign changing solutions with precisely two nodal domains to the singularly perturbed nonlinear elliptic equation -ε^{2}Δ_{g}u+u=|u|^{p-…