A multiplicity result for some nonlocal eigenvalue problem with exponential growth condition. (September 2015)

• Record Type: Journal Article
• Authors: Aouaoui, Sami
• Is Part Of: Nonlinear analysis. Volume 125(2015)
• Page Start: 626
• Page End: 638
• Publication Date: 2015-09
• Subjects: 35D30 -- 35J20 -- 35J61 -- 58E05; Nonlocal equation -- Trudinger–Moser inequality -- Variational method -- Palais–Smale condition -- Iterative scheme; 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.2015.06.008
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, a new variational tool is used to establish a multiplicity result for some equation containing a nonlocal term and involving the N -Laplacian operator and whose nonlinear term can have a critical exponential growth. The equation has a nonvariational nature.