Ground states for fractional magnetic operators

2016/01/16 by Pietro d’Avenia, Marco Squassina, d'Avenia, Pietro +1 · 1 citation
Mathematics · #26A33 #49A50 #74G65 #82D99 #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1601.04230

openalex publication_date 2016/01/16 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

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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• Fractional NLS equations with magnetic field, critical frequency and critical growth

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