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On a class of Schrodinger-Kirchhoff-Poisson systems | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 16 فروردین 1404 اصل مقاله (406.81 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.35087.5241 | ||
| نویسندگان | ||
| Meysam Soluki* 1؛ Ghasem Alizadeh Afrouzi1؛ Seyed Hashem Rasouli2 | ||
| 1Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran | ||
| 2Department of Mathematics, Faculty of Basic Science, Babol Noshirvani University of Technology, Babol, Iran | ||
| تاریخ دریافت: 24 مرداد 1403، تاریخ پذیرش: 28 شهریور 1403 | ||
| چکیده | ||
| This article discusses the existence and multiplicity of solutions for the following Schrodinger-Kirchhoff-Poisson system: \begin{equation*} \left\{\begin{array}{ll} \displaystyle -(a+b\int_{\mathbb{R}^3} |\nabla u|^2)\Delta u + \lambda \phi u=m(x){|u|}^ {q-2} u+ f(x,u), \qquad x \in \Omega,\\ \displaystyle\\ \displaystyle -\Delta\phi=u^2,~~\qquad\qquad\qquad ~\qquad x \in \Omega, \end{array}\right. \end{equation*} where $\Omega$ is a bounded smooth domain of $\mathbb{R}^3$, $a\geq 0$ ,$b> 0$ and $\lambda > 0$ is a parameter, $ 1<q<2$ and $f(x,u)$ is linearly bounded in $u$ at infinity. Under some suitable assumptions on $m$ and $f$, we prove the existence and multiplicity of solutions via variational methods. | ||
| کلیدواژهها | ||
| Schrodinger-Kirchhoff-Poisson systems؛ Combined nonlinearity؛ Variational methods | ||
| مراجع | ||
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