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arXiv · 1601.04230

Ground states for fractional magnetic operators

Pietro d'Avenia·Marco Squassina
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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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Pietro d'Avenia, Marco Squassina. 2016-01-16. Ground states for fractional magnetic operators. https://arxiv.org/abs/1601.04230

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