Solutions for quasilinear Schrodinger equations via the Nehari method

被引：433
|
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.
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页码：879 / 901
页数：23
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