RN上一类拟线性Schrödinger方程的Nehari流形解

数学物理学报 ›› 2016, Vol. 36 ›› Issue (3): 507-520.

R^N上一类拟线性Schrödinger方程的Nehari流形解

李静^1,2, 陈才生¹

1 河海大学理学院南京 210094;
2 临沂大学理学院山东临沂 276005

收稿日期:2015-09-12 修回日期:2016-04-07 出版日期:2016-06-26 发布日期:2016-06-26
通讯作者: 陈才生 E-mail:cshengchen@hhu.edu.cn
作者简介:李静,slyphna@163.com
基金资助:
国家自然科学基金（11571092）和中央高校基本科研业务费专项资金（2014B06314，2015B31014）资助

Nehari Method to Solutions for a Class of Quasilinear Schrödinger Equations in R^N

Li Jing^1,2, Chen Caisheng¹

1 College of Science, Hohai University, Nanjing 210094;
2 College of Science, Linyi University, Shandong Linyi 276005

Received:2015-09-12 Revised:2016-04-07 Online:2016-06-26 Published:2016-06-26
Supported by:
Supported by the NSFC (11571092) and the Fundamental Research Funds for the Central Universities of China (2014B06314, 2015B31014)

摘要/Abstract

摘要：

研究R^N上一类带参数的拟线性Schrödinger方程的正解，通过Nehari流形和Schwarz对称化的方法，分别证明了在两种不同条件下方程的解的存在性.

关键词: 拟线性Schrö, dinger方程, Nehari流形, Schwarz对称化

Abstract:

We consider the existence of positive solutions to a class of quasilinear Schrödinger equations with a parameter. By the Nehari argument and Schwarz symmetrization method, the existence of solutions in two different cases is established.

Key words: Quasilinear Schrödinger equations, Nehari manifold method, Schwarz symmetrization

中图分类号:

O175.25

李静, 陈才生. R^N上一类拟线性Schrödinger方程的Nehari流形解[J]. 数学物理学报, 2016, 36(3): 507-520.

Li Jing, Chen Caisheng. Nehari Method to Solutions for a Class of Quasilinear Schrödinger Equations in R^N[J]. Acta mathematica scientia,Series A, 2016, 36(3): 507-520.

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