In this paper, a class of quasilinear Schrödinger equations with discontinuous nonlinearity is considered. After changing variables, by using nonsmooth critical point theory, we obtain the existence and concentration of positive solutions for this problem under suitable conditions. Our results cover and extend some results for these differentiable quasilinear Schrödinger problems.

中文翻译：

---

\（\ mathbb {R} ^ {N} \）中一类不连续拟线性Schrödinger问题正解的存在和集中

本文考虑了一类具有不连续非线性的拟线性薛定ding方程。更改变量后，通过使用非光滑临界点理论，我们可以找到在适当条件下该问题正解的存在性和集中性。我们的结果涵盖并扩展了这些可微分拟线性Schrödinger问题的一些结果。