24 citations · 53 across the 13 of their papers we have counts for
15 papers
Scattering for Short-Range Mass-Subcritical Choquard Equations
Alessandro Michelangeli, Mirko Tarulli
We study scattering for the defocusing inhomogeneous generalized Choquard equation with data in the conformal energy space. In the full short-range mass-subcritical regime, a key e…
Decay in energy space for the solution of fourth-order Hartree-Fock equations with general non-local interactions
Mirko Tarulli, George Venkov
We prove the decay in the energy space for the solution to the defocusing biharmonic Hartree-Fock equations with mass-supercritical and energy-subcritical Choquard-type nonlinearit…
Orbital stability of solitary waves for the generalized Choquard model
Vladimir Georgiev, Mirko Tarulli, George Venkov
We consider the generalized Choquard equation describing trapped electron gas in 3 dimensional case. The study of orbital stability of the energy minimizers (known as ground states…
Decay and Scattering in energy space for the solution of weakly coupled Schrödinger-Choquard and Hartree-Fock equations
Mirko Tarulli, George Venkov
We prove decay with respect to some Lebesgue norms for a class of Schrödinger equations with non-local nonlinearities by showing new Morawetz inequalities and estimates. As a bypro…
-scattering for systems of weakly coupled fourth-order NLS equations in low space dimensions
Mirko Tarulli
We prove large-data scattering and existence of wave operators in the energy space for the systems of defocusing fourth-order Schrödinger equations with mass-supercritical and…
Existence and uniqueness of ground states for - Choquard model in 3D
Vladimir Georgiev, Mirko Tarulli, George Venkov
We study the -Choquard equation in 3-dimensional case and establish existence and uniqueness of ground states for the corresponding Weinstein functional. For proving the uniquen…