Homological approach to problems with jumping non-linearity. (October 2016)

• Record Type: Journal Article
• Authors: Maalaoui, Ali; Martino, Vittorio
• Is Part Of: Nonlinear analysis. Volume 144(2016)
• Page Start: 165
• Page End: 181
• Publication Date: 2016-10
• Subjects: Equivariant homology -- Rabinowitz–Floer homology -- Jumping nonlinearities; 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.2016.07.003
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we use a perturbed version of the Rabinowitz–Floer homology to find solutions to PDE's with jumping nonlinearities. As applications, we find branches for the Fucik spectrum for the Laplace equation and for systems on manifolds that fiber over S 1 .