Nonlinear singular problems with indefinite potential term
arXiv:2005.01789 · doi:10.1007/s13324-019-00333-7
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 varies. This work continues our research published in arXiv:2004.12583, where and in the reaction the parametric term is the singular one.
arXiv admin note: text overlap with arXiv:2004.12583