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.
|Number of pages||24|
|Journal||ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS|
|Publication status||Published - 2018|
- Fractional magnetic operators
- ground states