Huang, LanxinSu, Jiabao2023-05-232023-05-232023-03-11Huang, L., & Su, J. (2023). Multiple solutions for nonhomogeneous Schrödinger-Poisson system with p-Laplacian. <i>Electronic Journal of Differential Equations, 2023</i>(28), pp. 1-14.1072-6691https://hdl.handle.net/10877/16863This article concerns the existence of solutions to the Schrödinger-Poisson system -Δpu + |u|p-2u + λϕu = |u|q-2u + h(x) in ℝ3, -Δϕ = u2 in ℝ3, where 4/3<p<12/5, p<q<p*=3p/(3-p), Δp u =div(|∇u|p-2∇ u), λ>0, and h not 0. The multiplicity results are obtained by using Ekeland's variational principle and the mountain pass theorem.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalNonhomogeneous Schrödinger-Poisson systemVariational methodsMultiple solutionsp-LaplacianArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.