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 varies. This work continues our research published in arXiv:2004.12583, where and in the reaction the parametric term is the singular one.
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