Ground states for fractional magnetic operators

Marco Squassina, Pietro D'Avenia

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

47 Citazioni (Scopus)

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.
Lingua originaleEnglish
pagine (da-a)1-24
Numero di pagine24
RivistaESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
DOI
Stato di pubblicazionePubblicato - 2018

Keywords

  • Fractional magnetic operators
  • ground states

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