Document Type

Article

Department/Program

Mathematics

Journal Title

Communications on Pure and Applied Analysis

Pub Date

2013

Volume

12

Issue

6

First Page

2923

Abstract

In this paper, we consider an abstract equation F(lambda, u) = 0 with one parameter lambda, where F epsilon C-P(R x X, Y), p >= 2, is a nonlinear differentiable mapping, and X, Y are Banach spaces. We apply Lyapunov-Schmidt procedure and Morse Lemma to obtain a "double" saddle-node bifurcation theorem with a two-dimensional kernel. Applications include a perturbed problem and a semilinear elliptic equation.

DOI

10.3934/cpaa.2013.12.2923

Download

Share Feedback

Share

COinS