论文标题
非线性奇异问题无限期术语
Nonlinear singular problems with indefinite potential term
论文作者
论文摘要
我们考虑了非均匀差分操作员加上不确定潜力的非线性差异问题。在反应中，我们具有奇异术语以及凹形和凸出非线性的竞争作用。在本文中，凹项是参数。我们证明了一个分叉型定理，将正溶液集中的变化描述为正参数$λ$都会有所不同。这项工作延续了我们在Arxiv：2004.12583中发表的研究，其中$ξ\ equiv 0 $，在反应中，参数项是单数。
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 $λ$ varies. This work continues our research published in arXiv:2004.12583, where $ξ\equiv 0 $ and in the reaction the parametric term is the singular one.
