Infinitely many sign-changing solutions to some quasilinear equation involving exponential term. (November 2016)

• Record Type: Journal Article
• Authors: Aouaoui, Sami
• Is Part Of: Nonlinear analysis. Volume 146(2016)
• Page Start: 136
• Page End: 160
• Publication Date: 2016-11
• Subjects: 35A25 -- 35D30 -- 35J35 -- 35J62 -- 35J70; Multiplicity -- Sign-changing solution -- Exponential term -- Perturbation method -- Descending flow -- Invariant sets -- Critical points; 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.2016.08.018
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we prove the existence of infinitely many sign-changing solutions to some quasilinear and elliptic equation whose divergence part contains exponential term. Our main idea consists of the use of the perturbation method together with invariant sets of descending flow in the framework of classical critical point theory.