一类次线性基尔霍夫方程解的存在性  

Existence of Solutions for an Indefinite Kirchhoff Equation with New Sublinear Nonlinearities

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)

机构地区：[1]商丘工学院基础教学部,河南商丘476000 [2]信阳师范学院数学与统计学院,河南信阳464000

出　　处：《应用数学》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)。

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.

关 键 词：次线性 (PS)条件 变分法 

分 类 号：O177.92[理学—数学]