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Nonlinear singular problems with indefinite potential term

Analysis of PDEs 2020-05-08 v3

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 λ\lambda varies. This work continues our research published in arXiv:2004.12583, where ξ0\xi \equiv 0 and in the reaction the parametric term is the singular one.

Keywords

Cite

@article{arxiv.2005.01789,
  title  = {Nonlinear singular problems with indefinite potential term},
  author = {Nikolaos S. Papageorgiou and Vicenţiu D. Rădulescu and Dušan D. Repovš},
  journal= {arXiv preprint arXiv:2005.01789},
  year   = {2020}
}

Comments

arXiv admin note: text overlap with arXiv:2004.12583