Global Bifurcation of Positive Solutions of Asymptotically Linear Elliptic Problems

We are concerned with determining values of λ, for which there exist positive solutions of the nonlinear elliptic problem -Δu=λa(x)f(u)  in  Ω, ∂u/∂n+b(x)g(u)=0  on  ∂Ω. The proof of our main results is based upon unilateral global bifurcation theorem of López-Gómez.

Bibliographic Details
Main Authors: Ruyun Ma, Yanqiong Lu, Ruipeng Chen
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/749368