Existence of solutions for a class of quasilinear Schrödinger equations on R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}${\mathbb{R}}$\end{document}

被引：0
作者：
Da-Bin Wang
Kuo Yang
机构：
[1] Lanzhou University of Technology,Department of Applied Mathematics
来源：
Boundary Value Problems | / 2015卷 / 1期
关键词：
quasilinear Schrödinger equation; indefinite potential; variational method; 34J10; 35J20; 35J60;
D O I：
10.1186/s13661-015-0486-2
中图分类号：
学科分类号：
摘要：
In this paper, we study the existence of nontrivial solution for a class of quasilinear Schrödinger equations in R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}${\mathbb{R}}$\end{document} with the nonlinearity asymptotically linear and, furthermore, the potential indefinite in sign. The tool used in this paper is the direct variation method.
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