Correa, Francisco Julio S. A.Menezes, Silvano D. B.2021-04-052021-04-052004-02-11Corrêa, F. J. S. A., & Menezes, S. D. B. (2004). Existence of solutions to nonlocal and singular elliptic problems via Galerkin method. <i>Electronic Journal of Differential Equations, 2004</i>(19), pp. 1-10.1072-6691https://hdl.handle.net/10877/13338We study the existence of solutions to the nonlocal elliptic equation -M (u2) Δu = ƒ(x, u) with zero Dirichlet boundary conditions on a bounded and smooth domain of ℝn. We consider the M-linear case with ƒ ∈ H-1(Ω), and the sub-linear case ƒ(u) = uα, 0 < α < 1. Our main tool is the Galerkin method for both cases when M continuous and when M is discontinuous.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalNonlocal elliptic problemsGalerkin methodArticle