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.
Recommended Citation
Liu, P., Shi, J., & Wang, Y. (2013). A double saddle-node bifurcation theorem. Commun. Pure Appl. Anal, 12(6), 2923-2933.
DOI
10.3934/cpaa.2013.12.2923
COinS
