Solutions for quasilinear Schrodinger equations via the Nehari method

被引：442

作者：

Liu, JQ

Wang, YQ

Wang, ZQ ^{[1
]}

机构：

[1] Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA

[2] Fujian Normal Univ, Sch Math & Comp Sci, Fujian, Peoples R China

[3] Peking Univ, Dept Math, Beijing 100871, Peoples R China

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2004年 / 29卷 / 5-6期

关键词：

standing waves; quasilinear Schrodinger equations; one-sign and nodal solutions; the Nehari method;

D O I：

10.1081/PDE-120037335

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a class of quasilinear Schrodinger equations we establish the existence of both one-sign and nodal ground states of soliton type solutions by the Nehari method.

引用

页码：879 / 901

页数：23

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