@article{Chen_Papageorgiou_Rocha_2010, title={Twin positive solutions for singular nonlinear elliptic equations}, volume={35}, url={https://apcz.umk.pl/TMNA/article/view/TMNA.2010.011}, abstractNote={For a bounded domain $Z\subseteq{\mathbb{R }^N$ with a $C^2$-boundary, we prove the existence
of an ordered pair of smooth positive strong solutions for the nonlinear Dirichlet problem
$$
-\Delta_p x(z) = \beta(z)x(z)^{-\eta}+f(z,x(z))
\quad \text{a.e on } Z
\text{ with } x\in W^{1,p}_0(Z),
$$
which exhibits the combined effects of a singular term ($\eta\geq 0$) and a $(p-1)$-linear term $f(z,x)$ near $+\infty$, by using a combination of variational methods, with upper-lower solutions and with suitable truncation techniques.}, number={1}, journal={Topological Methods in Nonlinear Analysis}, author={Chen, Jianqing and Papageorgiou, Nikolaos S. and Rocha, Eugénio M.}, year={2010}, month={Apr.}, pages={187–201} }