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.
Papageorgiou, N.S., Vetro, C., & Vetro, F. (2019). Parametric nonlinear singular Dirichlet problems. NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS, 45, 239-254 [10.1016/j.nonrwa.2018.07.006].
Data di pubblicazione: | 2019 | |
Titolo: | Parametric nonlinear singular Dirichlet problems | |
Autori: | ||
Citazione: | Papageorgiou, N.S., Vetro, C., & Vetro, F. (2019). Parametric nonlinear singular Dirichlet problems. NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS, 45, 239-254 [10.1016/j.nonrwa.2018.07.006]. | |
Rivista: | ||
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.nonrwa.2018.07.006 | |
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. | |
URL: | http://www.elsevier.com | |
Appare nelle tipologie: | 1.01 Articolo in rivista |
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2018_PapageorgiouVetroVetro-NANRWA.pdf | Articolo principale | N/A | Administrator Richiedi una copia | |
334790_Vetro_Parametric nonlinear singular Dirichlet problems.pdf | Post-print | Open Access Visualizza/Apri |
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