Nodal solutions for noncoercive nonlinear Neumann problems with indefinite potential

被引：12
|
作者：
He, Tieshan [1 ]
Huang, Yehui [1 ]
Liang, Kaihao [1 ]
Lei, Youfa [1 ]
机构：
[1] Zhongkai Univ Agr & Engn, Sch Computat Sci, Guangzhou 510225, Guangdong, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2017年 / 71卷
关键词：
Nonhomogeneous differential operator; Nodal solution; Variational approach; Gradient flow; Superlinear reaction; NONHOMOGENEOUS DIFFERENTIAL OPERATOR; ELLIPTIC-EQUATIONS; P-LAPLACIAN; MULTIPLE SOLUTIONS; NONTRIVIAL SOLUTIONS;
D O I：
10.1016/j.aml.2017.03.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a nonlinear Neumann problem driven by a nonhomogeneous differential operator and an indefinite potential. Using variational methods together with flow invariance arguments, we show that the problem has at least one nodal solution. The result presented in this paper gives an answer to the open question raised by Papageorgiou and Radulescu (2016). (C) 2017 Elsevier Ltd. All rights reserved.
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页码：67 / 73
页数：7
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