On a class of nonlocal elliptic problems via Galerkin method

In this paper we study existence and uniqueness of solutions to some cases of the following nonlocal elliptic problem: −Δu = (g(x, u))α ( Ω f (x,u))β with zero Dirichlet boundary conditions on a bounded and smooth domain of RN and also when Ω = RN, where α and β are real constants.  2005 Elsevier Inc. All rights reserved.