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].
Parametric nonlinear singular Dirichlet problems
Vetro, Calogero;Vetro, Francesca
2019-01-01
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.
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