Nonlinear singular problems with indefinite potential term

preprint2020arXivOpen access

Abstract

We consider a nonlinear Dirichlet problem driven by a nonhomogeneous differential operator plus an indefinite potential. In the reaction we have the competing effects of a singular term and of concave and convex nonlinearities. In this paper the concave term is parametric. We prove a bifurcation-type theorem describing the changes in the set of positive solutions as the positive parameter λλ varies. This work continues our research published in arXiv:2004.12583, where ξ≡0ξ\equiv 0 and in the reaction the parametric term is the singular one.

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