5 citations · 7 across the 5 of their papers we have counts for
5 papers
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…
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…
Symmetry and uniqueness of minimizers of Hartree type equations with external Coulomb potential
Vladimir Georgiev, George Venkov
In the present article we study the radial symmetry of minimizers of the energy functional, corresponding to the repulsive Hartree equation in external Coulomb potential. To overco…