Multiple solutions for nonhomogeneous Schrödinger-Poisson system with p-Laplacian
Date
2023-03-11
Authors
Huang, Lanxin
Su, Jiabao
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This 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.
Description
Keywords
Nonhomogeneous Schrödinger-Poisson system, Variational methods, Multiple solutions, p-Laplacian
Citation
Huang, 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.