221 citations · 455 across the 37 of their papers we have counts for
3 papers · 2 filters
Generalized Schrödinger-Newton system in dimension : critical case
Antonio Azzollini, Pietro d'Avenia, Giusi Vaira
In this paper we study a system which is equivalent to a nonlocal version of the well known Brezis Nirenberg problem. The difficulties related with the lack of compactness are here…
Vortex ground states for Klein-Gordon-Maxwell-Proca type systems
Pietro d'Avenia, Jarosław Mederski, Alessio Pomponio
We look for three dimensional vortex-solutions, which have finite energy and are stationary solutions, of Klein-Gordon-Maxwell-Proca type systems of equations. We prove the existen…
Ground states for fractional magnetic operators
Pietro d'Avenia, Marco Squassina
We study a class of minimization problems for a nonlocal operator involving an external magnetic potential. The notions are physically justified and consistent with the case of abs…