4.5 Article

Parametric nonlinear singular Dirichlet problems

期刊

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
卷 45, 期 -, 页码 239-254

出版社

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2018.07.006

关键词

Singularity; Resonance; Positive solution; Bifurcation-type theorem

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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. (C) 2018 Elsevier Ltd. All rights reserved.

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