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

[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.

[学科分类] 数学（综合）

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