Parametric nonlinear singular Dirichlet problems. (February 2019)

• Record Type: Journal Article
• Authors: Papageorgiou, Nikolaos S.; Vetro, Calogero; Vetro, Francesca
• Is Part Of: Nonlinear analysis. Volume 45(2019)
• Page Start: 239
• Page End: 254
• Publication Date: 2019-02
• Subjects: Singularity -- Resonance -- Positive solution -- Bifurcation-type theorem; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2018.07.006
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: We consider a nonlinear parametric Dirichlet problem driven by the p -Laplacian and a reaction which exhibits the competing effects of a singular term and of a resonant perturbation. Using variational methods together with suitable truncation and comparison techniques, we prove a bifurcation-type theorem describing the dependence on the parameter of the set of positive solutions.