On a fractional magnetic Schrödinger equation in R with exponential critical growth. (June 2019)

• Record Type: Journal Article
• Authors: Ambrosio, Vincenzo
• Is Part Of: Nonlinear analysis. Volume 183(2019)
• Page Start: 117
• Page End: 148
• Publication Date: 2019-06
• Subjects: 47G20 -- 35R11 -- 35A15 -- 58E05; Fractional magnetic Laplacian -- Variational methods -- Critical exponential growth; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2019.01.016
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We deal with a class of fractional magnetic Schrödinger equations in the whole line with exponential critical growth. Under a local condition on the potential, we use penalization methods and Ljusternik–Schnirelmann category theory to investigate the existence, multiplicity and concentration of nontrivial weak solutions.