Critical and subcritical fractional Hamiltonian systems of Schrödinger equations with vanishing potentials. (April 2023)

• Record Type: Journal Article
• Authors: Miyagaki, O.H.; Santana, C.R.; Toon, E.; Ubilla, P.
• Is Part Of: Nonlinear analysis. Volume 229(2023)
• Publication Date: 2023-04
• Subjects: 35J10 -- 35J50 -- 35R11 -- 35Q55; Cerami sequences -- Variational methods -- Schrödinger equations -- Hamiltonian systems -- Vanishing potentials -- Fractional Laplacian; 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.2022.113203
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We analyze a class of fractional Hamiltonian systems of Schrödinger equations in R N involving vanishing potential with critical and subcritical nonlinearity. We make use of variational methods to prove the existence of at least one pair of positive solutions. Our result in the critical case is new even for the Laplacian operator.