Calculus of Variations and Geometric Measure Theory
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P. d'Avenia - M. Squassina

Ground states for fractional magnetic operators

created by squassina on 17 Jan 2016
modified on 09 Nov 2016



Inserted: 17 jan 2016
Last Updated: 9 nov 2016

Journal: ESAIM Control Optim. Calc. Var.
Year: 2016


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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