Ground states for fractional magnetic operators
classification
🧮 math.AP
keywords
magneticabsencecaseclasscompactnessconcentrationconsistentexistence
read the original 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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