摘要
本文研究一类不确定型的基尔霍夫方程.在线性泛函满足新的次线性增长条件和扰动势能合适的条件下,利用变分法得到该类方程的非平凡解的存在性.
In this paper,we study an indefinite Kirchhoff equation.Under the new sublinear growth condition and some suitable conditions,the existence of nontrivial solutions is obtained by using variational mathods.
作者
陈玉松
申子慧
朱新才
CHEN Yusong;SHEN Zihui;ZHU Xincai(Department of Basic Education,Shangqiu Institute of Technology,Shangqiu 476000,China;School of Mathematics and Statistics,Xinyang Normal University,Xinyang 464000,China)
出处
《应用数学》
北大核心
2023年第3期766-772,共7页
Mathematica Applicata
基金
Supported by the National Natural Science Foundation of China (11901500)
Key Scientific Research Projects of Henan Province Colleges and Universities(22B110011)
School-level Key Scientific Research Project of Shangqiu Institute of Technology (2022KYXM19)。
关键词
次线性
(PS)条件
变分法
Sublinear
(PS)-condition
Variational method
