Ground states for fractional magnetic operators

Pietro d'Avenia, Marco Squassina
2017 E S A I M: Control, Optimisation and Calculus of Variations  
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 absence of magnetic fields. Existence of solutions is obtained via concentration compactness.
doi:10.1051/cocv/2016071 fatcat:6afmyfwigjbv5ks6opbhphjvh4