Multiple solutions for some quasilinear equation of N-Laplacian type and containing a gradient term. (April 2015)

• Record Type: Journal Article
• Authors: Aouaoui, Sami
• Is Part Of: Nonlinear analysis. Volume 116(2015)
• Page Start: 64
• Page End: 74
• Publication Date: 2015-04
• Subjects: 35D30 -- 35J20 -- 35J61 -- 58E05; N-Laplacian -- Trudinger–Moser inequality -- Critical exponential growth -- Gradient term -- 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.2014.12.022
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, a new variational tool is used to establish a multiplicity result for some quasilinear equations involving a gradient term and a nonlinear term having a critical exponential growth.