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

Marco Squassina, Zhang Binlin, Zhang Xia

Research output: Contribution to journalArticle

25 Citations (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
Original languageEnglish
Pages (from-to)115-140
Number of pages26
JournalManuscripta Mathematica
DOIs
Publication statusPublished - 2017

Keywords

  • fractional NLS

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