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Nonlinear singular problems with indefinite potential term

Published 30 Apr 2020 in math.AP | (2005.01789v3)

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 $\lambda$ varies. This work continues our research published in arXiv:2004.12583, where $\xi \equiv 0 $ and in the reaction the parametric term is the singular one.

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