Bachar, Imed2021-07-202021-07-202006-08-31Bachar, I. (2006). Existence of positive solutions for higher order singular sublinear elliptic equations. <i>Electronic Journal of Differential Equations, 2006</i>(102), pp. 1-9.1072-6691https://hdl.handle.net/10877/13975We present existence result for the polyharmonic nonlinear problem (-Δ)pmu = φ(., u) + ψ(., u), in B u > 0, in B lim|x|→1 (-Δ)jmu(x) / (1 - |x|)m-1 = 0, 0 ≤ j ≤ p - 1, in the sense of distributions. Here m, p are positive integers, B is the unit ball in ℝn(n ≥ 2) and the nonlinearity is a sum of a singular and sublinear terms satisfying some appropriate conditions related to a polyharmonic Kato class of functions J(p)m,n.Text9 pages1 file (.pdf)enAttribution 4.0 InternationalGreen functionHigher-order elliptic equationsPositive solutionSchauder fixed point theoremArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.