University of Kashan Mathematics Interdisciplinary Research 2538-3639 7 2 2022 06 01 Existence solution of a Biharmonic-type Kirchhoff-Schrödinger-Maxwell system 105 129 111954 10.22052/mir.2021.243150.1313 EN Seyed Nasser Ahmadi Department of Mathematics, University of Mazandaran, Babolsar, Iran Mohsen Alimohammady Department of Mathematics, University of Mazandaran, Babolsar, Iran 0000-0001-8358-9962 Journal Article 2021 09 30 This article addresses the following biharmonic type of the Kirchhoff-Schrödinger-Maxwell system;<br />∆<sup>2</sup> w − (<em>a</em><sub>1</sub> +<em>b</em><sub>1</sub>∫<sub>R<sup>N </sup></sub>|∇w| <sup>2</sup> )∆w + ηψw = q(w)           in R<sup>N</sup>,<br />−∆ψ = ηw<sup>2                                                                               </sup> in R<sup>N</sup>, (bKSM)<br />in which <em>a</em><sub>1</sub> ,<em>b</em><sub>1</sub> and <em>η</em> are fixed positive numbers and <em>q</em> is a continuous real valued function in <em>R</em>. We are going to prove the existence solution for this system via variational methods, delicate cut-off technique and Pohozaev identity. Biharmonic equations Kirchhoff-Schrödinger-Maxwell Cut-off function Pohozaev identity https://mir.kashanu.ac.ir/article_111954_5b0eb0fdf8df9d31cc7788bc6a950083.pdf