@article{Li_Cai_Su_2016, title={Quasilinear elliptic equations with singular potentials and bounded discontinuous nonlinearities}, volume={43}, url={https://apcz.umk.pl/TMNA/article/view/TMNA.2014.026}, abstractNote={In this paper we study the quasilinear equation
$$
\cases - \text{div}(|
abla u|^{p-2}
abla u)+V(|x|)|u|^{p-2} u= Q(|x|)f(u), & x\in \mathbb{R}^N,
\\ u(x)\rightarrow 0,\quad |x|\rightarrow \infty.
\endcases
\leqno(\text{P})
$$
with singular radial potentials $V$, $Q$ and bounded measurable function $f$.
The approaches used here are based on a compact embedding from
the space $W^{1,p}_r(\mathbb{R}^N; V)$ into $L^1 (\mathbb{R}^N; Q)$ and a new multiple critical point theorem for locally Lipschitz continuous functionals.}, number={2}, journal={Topological Methods in Nonlinear Analysis}, author={Li, Anran and Cai, Hongrui and Su, Jiabao}, year={2016}, month={Apr.}, pages={439–450} }