Ground states for fractional magnetic operators

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.

22 pages, minor corrections and typos fixed

References in corpus (1)

• Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian

Cited by in corpus (7)

• On an inverse problem for a fractional semilinear elliptic equation involving a magnetic potential
• Multiplicity and concentration of solutions for a fractional Kirchhoff equation with magnetic field and critical growth
• Ground state solutions for the nonlinear fractional Schrodinger-Poisson system
• Nonlinear Perturbations of a periodic magnetic Choquard equation with Hardy-Littlewood-Sobolev critical exponent
• Concentration phenomena for fractional magnetic NLS equations
• Degenerate fractional Kirchhoff-type system with magnetic fields and upper critical growth
• Fractional NLS equations with magnetic field, critical frequency and critical growth