Sign-changing solutions for quasilinear Schrodinger equations with restraint

被引：1
|
作者：
Xiong, Ming [1 ]
Liu, Xiangqing [2 ]
机构：
[1] Dali Inst, Dept Math, Dali 671000, Peoples R China
[2] Yunnan Normal Univ, Dept Math, Kunming 650092, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2013年 / 86卷
关键词：
Sign-changing solution; Quasilinear Schrodinger equation; Lagrangian multiplier; SOLITON-SOLUTIONS; SCALAR FIELD; WAVES; EXISTENCE; PLASMA;
D O I：
10.1016/j.na.2013.03.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the existence of sign-changing solutions for the quasilinear Schrodinger equation -Delta u + V(x)u - 1/2u Delta u(2) = lambda vertical bar u vertical bar(p-1)u in R-N, with the restraint integral(RN) vertical bar u vertical bar(p+1)dx = 1, where lambda appears as a Lagrangian multiplier, 4 <= p + 1 < 4N/N-2 and V = V(x), x is an element of R-N is a given potential. (C) 2013 Elsevier Ltd. All rights reserved.
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页码：1 / 11
页数：11
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