MULTIPLE SOLUTIONS FOR NONHOMOGENEOUS SCHRÖDINGER-POISSON SYSTEM WITH p-LAPLACIAN.

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), Δpu = div(|Δu|p–2Δu), λ > 0, and h ≠ 0. The multiplicity results are obtained by using Ekeland's variational principle and the mountain pass theorem. [ABSTRACT FROM AUTHOR]