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

<p/> <p>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.</p>

Bibliographic Details
Main Authors: Wang Fanglei, An Yukun
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Boundary Value Problems
Online Access:http://www.boundaryvalueproblems.com/content/2009/540360