Existence and concentration of positive solutions for a class of discontinuous quasilinear Schrödinger problems in RN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathbb{R}^{N}$\end{document}

被引：0
作者：
Ziqing Yuan
机构：
[1] Shaoyang University,Department of Mathematics
[2] Guangzhou University,Center for Applied Mathematics
来源：
Boundary Value Problems | / 2020卷 / 1期
关键词：
Quasilinear Schrödinger equation; Variational method; Discontinuous nonlinearity; Positive solution; 35J85; 47J30; 49J52;
D O I：
10.1186/s13661-020-01362-z
中图分类号：
学科分类号：
摘要：
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.
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