... product.10 Journal of Inequalities and ApplicationsIn 12,forD a bounded smooth domain and in 13,forD Rn, the authors haveestablished the following estimates for the Green function ... that areJournal of Inequalities and Applications 9Indeed, let e 0, ,0, 1 ∈ Rn and for p ∈ N, we denote by Bp B2pe, 2p. Then byusing 3.2 and 3.1, we obtain for each x, y in Rn,GRnm,nx, ... 2000.3 I.Bachar,H.Mˆaagli, S. Masmoudi, and M. Zribi, “Estimates for the Green function and singularsolutions for polyharmonic nonlinear equation,” Abstract and Applied Analysis, vol. 2003, no....