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.
D'Avenia, P., Squassina, M., Ground states for fractional magnetic operators, <<ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS>>, 2018; (24): 1-24. [doi:10.1051/cocv/2016071] [http://hdl.handle.net/10807/87006]
Ground states for fractional magnetic operators
Squassina, MarcoUltimo
2018
Abstract
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.
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