Existence and concentration of positive solutions for a system of coupled saturable Schrödinger equations. (August 2020)

• Record Type: Journal Article
• Authors: Lehrer, Raquel; Soares, Sergio H. Monari
• Is Part Of: Nonlinear analysis. Volume 197(2020)
• Publication Date: 2020-08
• Subjects: primary 35J20 -- secondary 35J60 35Q55; Variational methods -- Saturable system -- Positive solutions -- Concentration; 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.2020.111841
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: It is considered a saturable system of coupled Schrödinger equations with asymptotically linear nonlinearities. The bound states (solutions with finite energy) are proved to exist and have a concentration behavior under hypotheses involving the coupling and saturation parameters. The proof is based on variational methods.