2 citations · 3 across the 11 of their papers we have counts for
12 papers
Stability in the log-modified nonlinear Schrödinger equation in dimension one
Daniele Garrisi, Yihan Liang
In the one-dimensional log-modified nonlinear Schrödinger equation, there are finitely many normalised standing-waves, up to space translation and phase multiplication. In the defo…
Degeneracy and multiplicity of standing-waves of the one-dimensional non-linear Schrödinger equation for a class of algebraic non-linearities
Daniele Garrisi, Vladimir Georgiev
We study the existence, the stability and the non-degeneracy of normalized standing-waves solutions to a one dimensional non-linear Schrödinger equation. The non-linearity belongs…
Stability and instability of standing-wave solutions to one dimensional quadratic-cubic Klein-Gordon equations
Daniele Garrisi
We study the stability of standing-waves solutions to a scalar non-linear Klein-Gordon equation in dimension one with a quadratic-cubic non-linearity. Orbits are obtained by applyi…
Orbital stability and concentration of standing waves to nonlinear Schrödinger systems with mass critical exponent
Daniele Garrisi, Tianxiang Gou
For a nonlinear Schrödinger system with mass critical exponent, we prove the existence and orbital stability of standing-wave solutions obtained as minimizers of the underlying ene…
Multiple normalized standing-waves solutions to the scalar non-linear Klein-Gordon equation with two competing powers
Daniele Garrisi
In this work we prove the existence of standing-wave solutions to the scalar non-linear Klein-Gordon equation in dimension one and the stability of the ground-state, the set which…
Uniqueness of standing-waves for a non-linear Schrödinger equation with three pure-power combinations in dimension one
Daniele Garrisi, Vladimir Georgiev
We show that symmetric and positive profiles of ground-state standing-wave of the non-linear Schrödinger equation are non-degenerate and unique up to a translation of the argument…
Orbital stability and uniqueness of the ground state for NLS in dimension one
Daniele Garrisi, Vladimir Georgiev
We prove that standing-waves solutions to the non-linear Schrödinger equation in dimension one whose profiles can be obtained as minima of the energy over the mass, are orbitally s…
Existence of positive solutions to a semi-linear elliptic system with a small energy/charge ratio
Daniele Garrisi
We prove the existence of positive solutions to a sys- tem of k non-linear elliptic equations corresponding to standing- wave k-uples solutions to a system of non-linear Klein-Gord…
On the orbital stability of standing-waves solutions to a coupled non-linear Klein-Gordon equation
Daniele Garrisi
We consider a system of two coupled non-linear Klein-Gordon equations. We show the existence of standing waves solutions and the existence of a Lyapunov function for the ground sta…
Energy estimated frequencies of standing-wave solutions to non-linear Klein-Gordon systems in higher dimension
Daniele Garrisi
In this work a system of non-linear elliptic equations is considered, where the non-linear term is the sum of a quadratic form and a Sobolev sub-critical term. An extra assumption…
On the connected components of the conjugacy class of projectors on
Daniele Garrisi
We characterize the projectors on a Banach space having the property of being connected to all the others projectors obtained as a conjugation of . Using this char…
Ordinary differential equations in Banach spaces and the spectral flow
Daniele Garrisi
We give a definition of the spectral flow for continuous paths in the space of bounded and essentially hyperbolic operators. We provide a homotopical characterization of the spectr…