Infinitely many sign-changing solutions for system of p-Laplace equations in RN

被引：5
|
作者：
Zhao, Junfang [1 ]
Liu, Xiangqing [2 ]
Liu, Jiaquan [3 ]
机构：
[1] China Univ Geosci, Sch Sci, Beijing 100083, Peoples R China
[2] Yunnan Normal Univ, Dept Math, Kunming 650500, Yunnan, Peoples R China
[3] Peking Univ, Sch Math, LMAM, Beijing 100871, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2019年 / 182卷
关键词：
System of p-Laplacian equations; Sign-changing solution; Truncation method; Concentration analysis; NONLINEAR SCHRODINGER-EQUATIONS; BOUND-STATES; POSITIVE SOLUTIONS; NODAL SOLUTIONS; GROUND-STATES; WAVES;
D O I：
10.1016/j.na.2018.12.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider the system of p-Laplacian equations in R-N {-Delta(p)u(j )+ mu(j)(x)vertical bar u(j)vertical bar(p)(-)(2)u(j) =Sigma(k)(i=1) beta(ij)vertical bar u(i)vertical bar(q)vertical bar u(j)vertical bar(q-2)u(j) in R-N, u(j)(x) -> 0 as vertical bar x vertical bar -> infinity, j = 1, ..., k, where 1 < p < N, max{2, p} < 2q < p* = Np/N-p, beta(ij) are constants, i, j = 1, ..., k, (beta ij) > 0, j = 1, 2, ..., k, beta(ij) <= 0, i not equal j, i, j = 1, ..., k; mu(j, j) = 1, ..., k are the potential functions and satisfy suitable decay assumptions. The existence of infinitely many sign-changing solutions is proved by the truncation method and by the concentration-compactness analysis on the approximating solutions. (C) 2018 Elsevier Ltd. All rights reserved.
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页码：113 / 142
页数：30
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