%0 Journal Article
%T 一类带变号权Kirchhoff方程解的存在性<br>Existence of Solution for Kirchhoff Equation with Sign-Changing Weight
%A 陈莉萍
%J Advances in Applied Mathematics
%P 1567-1573
%@ 2324-8009
%D 2023
%I Hans Publishing
%R 10.12677/AAM.2023.124161
%X 本文研究一类具有变号权的Kirchhoff方程<img src=\"Edit_831a9baf-5090-4449-97ad-ced01b8689fc.png\" alt=\"\" />, 解的存在性, 其中 a, b &gt; 0, 3 &lt; p &lt; 5, V (x) 是一个连续的变号权且 lim<sub>|x|→∞</sub> V (x) = V<sub>∞</sub> &lt; 0.<br />
In this paper, we deal with the existence result of Kirchhoff equation with sign- changing weight <img src=\"Edit_66ba1cb9-25b3-40e9-90da-3c17c63e04df.png\" alt=\"\" />, where a, b &gt; 0, 3 &lt; p &lt; 5, V (x) is a continuous and sign-changing function such that lim<sub>|x|→∞</sub> V (x) = V<sub>∞</sub> &lt; 0.
%K Kirchhoff方程，非局部项，变分法，变号权<br>Kirchhoff Equation
%K Nonlocal Term
%K Variation Methods
%K Sign-Changing Weight
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=64344