The existence of nontrivial solution to a class of nonlinear Kirchhoff equations without any growth and Ambrosetti-Rabinowitz conditions

被引：10
|
作者：
Li, Yuhua [1 ]
Geng, Qian [1 ]
机构：
[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2019年 / 96卷
基金：
中国国家自然科学基金;
关键词：
Kirchhoff; Moser iteration; Ambrosetti-Rabinowitz conditions; Growth conditions; POSITIVE SOLUTIONS;
D O I：
10.1016/j.aml.2019.04.027
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Kirchhoff equations without any growth and Ambrosetti-Rabinowitz conditions are considered in this paper. By using the cutoff function, we get the existence of nontrivial solutions to revised equation. Then we use the Moser iteration to obtain the existence of nontrivial solution to original Kirchhoff equations. The nonlinearity may be supercritical. (C) 2019 Elsevier Ltd. All rights reserved.
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页码：153 / 158
页数：6
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