Multi-parameter bifurcation and applications
Junping Shi · 2003
In this article we discuss some new abstract bifurcation theorems and their applications to the global bifurcation problem of a semilinear boundary value problem: ∆u + λf(ε, u) = 0 in Ω, u = 0 on ∂Ω, (1) where λ, ε> 0, f is a nonlinear function, and Ω is a smooth bounded domain in R n. The