%0 Journal Article %T Existence of Nontrivial Solution for a Nonlocal Elliptic Equation with Nonlinear Boundary Condition %A Wang Fanglei %A An Yukun %J Boundary Value Problems %D 2009 %I Springer %X In this paper, we establish two different existence results of solutions for a nonlocal elliptic equations with nonlinear boundary condition. The first one is based on Galerkin method, and gives a priori estimate. The second one is based on Mountain Pass Lemma. %U http://www.boundaryvalueproblems.com/content/2009/540360