Existence of Nontrivial Solution for a Nonlocal Elliptic Equation with Nonlinear Boundary Condition

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.

Bibliographic Details
Main Authors: Fanglei Wang, Yukun An
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Boundary Value Problems
Online Access:http://dx.doi.org/10.1155/2009/540360