Ground states for fractional magnetic operators

Marco Squassina, Pietro D'Avenia

Research output: Contribution to journalArticlepeer-review

51 Citations (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.
Original languageEnglish
Pages (from-to)1-24
Number of pages24
JournalESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
DOIs
Publication statusPublished - 2018

Keywords

  • Fractional magnetic operators
  • ground states

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