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

Marco Squassina, Zhang Binlin, Zhang Xia

Risultato della ricerca: Contributo in rivistaArticolo in rivista

23 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 originaleEnglish
pagine (da-a)115-140
Numero di pagine26
RivistaManuscripta Mathematica
DOI
Stato di pubblicazionePubblicato - 2017

Keywords

  • fractional NLS

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