Ground states for fractional magnetic operators-Reference-Cited by-同舟云学术

Ground states for fractional magnetic operators

Published:2017-09-28 Issue:1 Volume:24 Page:1-24
ISSN:1292-8119
Container-title:ESAIM: Control, Optimisation and Calculus of Variations
language:
Short-container-title:ESAIM: COCV

Author:

d’Avenia Pietro^ORCID,Squassina Marco

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.

Funder

Gruppo Nazionale per l'Analisi Matematica, la Probabilita e le loro Applicazioni

Publisher

EDP Sciences

Subject

Computational Mathematics,Control and Optimization,Control and Systems Engineering

Link

https://www.esaim-cocv.org/10.1051/cocv/2016071/pdf

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