10 citations · 24 across the 10 of their papers we have counts for
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Some generic properties of non degeneracy for critical points of functionals and applications
Marco Ghimenti, Anna Maria Micheletti
We give some generic properties of non degeneracy for critical points of functionals. We apply these results, obtaining some theorems of multiplicity of solutions for the equation…
Non degeneracy for solutions of singularly perturbed nonlinear elliptic problems on symmetric Riemannian manifolds
Marco Ghimenti, Anna Maria Micheletti
Given a symmetric Riemannian manifold (M, g), we show some results of genericity for non degenerate sign changing solutions of singularly perturbed nonlinear elliptic problems with…
Positive solutions for singularly perturbed nonlinear elliptic problem on manifolds via Morse theory
Marco G. Ghimenti, Anna Maria Micheletti
Given (M, g0) we consider the problem -ε^2Delta_{g0+h}u + u = (u+)^{p-1} with (ε, h) \in (0, ε0) \times Bρ. Here Bρ is a ball centered at 0 with radius ρ in the Banach space of all…
On the number of nodal solutions for a nonlinear elliptic problem on symmetric Riemannian manifolds
Marco G. Ghimenti, Anna Maria Micheletti
We consider the problem -ε^2Δ_gu+u = |u|^{p-2}u in M, where (M,g) is a symmetric Riemannian manifold. We give a multiplicity result for antisymmetric changing sign solutions.
Positive solutions of singularly perturbed nonlinear elliptic problem on Riemannian manifolds with boundary
Marco G. Ghimenti, Anna Maria Micheletti
Let (M,g) be a smooth connected compact Riemannian manifold of finite dimension n \geq 2 with a smooth boundary \partial M. We consider the problem -ε^2Δ_gu+u=|u|^{p-2}u, u>0 on M,…
The Nonlinear Schroedinger Equation: Existence, Stability and Dynamics of Solitons
Vieri Benci, Marco G. Ghimenti, Anna Maria Micheletti
In this paper we present some recent results concerning the ex- istence, the stability and the dynamics of solitons occurring in the nonlinear Schroedinger equation when the parame…