A bifurcation phenomenon for the critical Laplace and p-Laplace equation in the ball: part 2

In this paper we continue the discussion started in [12] concerning a bifurcation phenomenon for radial solutions of the following nonlinear eigenvalue problem: (Formula presented.) where q=npn-p is the critical exponent and x∈Rn. Our main purpose is to remove the restriction in the range of parameters, i.e. 2nn+2≤p≤2, and to consider the whole range p>1. The proofs rely on a dynamical systems approach and the main technical contribution is the construction of an unstable manifold in a non-smooth context.