%0 Journal Article
%T 一类带变号权 Kirchhoff-Poisson 系统非平凡解的存在性<br>Existence of Nontrivial Solution for a Class of Kirchhoff-Poisson System withSign-Changing Weight
%A 马银兰
%J Advances in Applied Mathematics
%P 2053-2061
%@ 2324-8009
%D 2024
%I Hans Publishing
%R 10.12677/AAM.2024.135192
%X 应用山路引理, 本文研究 Kirchhoff-Poisson 系统<img src=\"Edit_050140df-807e-4e77-8f41-cdb4f2eb041d.png\" alt=\"\" />,非平凡解的存在性, 其中 a, b &gt; 0, 3 &lt; p &lt; 5, P (x) ∈ C(R<sup>3</sup>, R) 且 lim▕x▕→∞P (x) = P∞&lt; 0 ,K(x) ∈ C(R<sup>3</sup>, R) 且 K(x) ∈ L<sup>2</sup>(R<sup>3</sup>).<br />
By using mountain pass theorem, we are concerned with the existence of nontrivial solution of Kirchhoff-Poisson system in this paper: <img src=\"Edit_53a0adfb-f211-4109-a776-c4fbf512b0a4.png\" alt=\"\" />,where a, b &gt; 0, 3 &lt; p &lt; 5, P (x) ∈ C(R<sup>3</sup>) is a sign-changing function with <span>lim▕x▕→∞P (x) = P∞&lt; 0 ,K(x) ∈ C(R</span><sup>3</sup><span>, R) 且 K(x) ∈ L</span><sup>2</sup><span>(R</span><sup>3</sup><span>).</span>
%K Kirchhoff-Poisson系统，变号权，非平凡解<br>Kirchhoff-Poisson System
%K Sign-Changing Weight
%K Nontrivial Solution
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=87564