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

Zhang Binlin, Marco Squassina*, Zhang Xia

*Autore corrispondente per questo lavoro

Risultato della ricerca: Contributo in rivistaArticolo

25 Citazioni (Scopus)

Abstract

The paper is devoted to the study of singularly perturbed fractional Schrödinger equations involving critical frequency and critical growth in the presence of a magnetic field. By using variational methods, we obtain the existence of mountain pass solutions uε which tend to the trivial solution as ε → 0. Moreover, we get infinitely many solutions and sign-changing solutions for the problem in absence of magnetic effects under some extra assumptions
Lingua originaleInglese
pagine (da-a)115-140
Numero di pagine26
RivistaManuscripta Mathematica
DOI
Stato di pubblicazionePubblicato - 2017

Keywords

  • fractional NLS

Fingerprint

Entra nei temi di ricerca di 'Fractional NLS equations with magnetic field, critical frequency and critical growth'. Insieme formano una fingerprint unica.

Cita questo