Multiple solutions for nonhomogeneous Schrodinger-Poisson system with p-Laplacian

Electronic Journal of Differential Equations

article

Lanxin Huang¹  Jiabao Su¹ 

[1] School of Mathematical Sciences Capital Normal University Beijing 100048

关键词: Nonhomogeneous Schrodinger-Poisson system;    variational methods;    multiple solutions;    p-Laplacian;   

DOI  :  10.58997/ejde.2023.28

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

This article concerns the existence of solutions to the Schrodinger-Poisson system $$\displaylines{ -\Delta_p u+|u|^{p-2}u+\lambda\phi u=|u|^{q-2}u+h(x) \quad \hbox{in }\mathbb{R}^3,\\ -\Delta \phi=u^2 \quad \hbox{in }\mathbb{R}^3, }$$ where \( 4/3 < p < 12/5 \), \( p < q 0\), and \(h \not= 0\). The multiplicity results are obtained by using Ekeland's variational principle and the mountain pass theorem.

【 授权许可】

CC BY