5 citations · 9 across the 9 of their papers we have counts for
4 papers · 1 filter
On a fractional magnetic pseudorelativistic operator: properties and applications
Federico Bernini, Pietro d'Avenia
We introduce a fractional magnetic pseudorelativistic operator for a general fractional order . First we define a suitable functional setting and we prove some fundament…
Multiplicity of critical orbits to nonlinear, strongly indefinite functionals with sign-changing nonlinear part
Federico Bernini, Bartosz Bieganowski, Daniel Strzelecki
We show an abstract critical point theorem about existence of infinitely many critical orbits to strongly indefinite functionals with sign-changing nonlinear part defined on a disl…
Note on homoclinic solutions to nonautonomous Hamiltonian systems with sign-changing nonlinear part
Federico Bernini, Bartosz Bieganowski, Daniel Strzelecki
In the paper, we utilize the recent variational, abstract theorem to show the existence of homoclinic solutions to the Hamiltonian system $$ \dot{z} = J D_z H(z, t), \quad t \in \m…
Nonlinear Schrödinger-Poisson systems in dimension two: the zero mass case
Federico Bernini, Giulio Romani, Cristina Tarsi
We provide an existence result for a Schrödinger-Poisson system in gradient form, set in the whole plane, in the case of zero mass. Since the setting is limiting for the Sobolev em…