Global Bifurcations of Solutions of Emden–Fowler-Type Equation −Δu(x)=λf(u(x)) on an Annulus in n, n 3

In this article we study global and symmetry-breaking bifurcations of solutions of Emden–Fowler-type elliptic differential equations. As the main tool we use a topological invariant which is suitable for study of global bifurcations and continuations of critical points of equivariant functionals. Namely, we will apply degree for S1-equivariant orthogonal maps defined in Rybicki (1994, Nonlinear Anal TMA 23, 83–102).