A dynamical system approach to the construction of singular solutions of some degenerate elliptic equations

Abstract

We study the existence of singular separable solutions to the 2-dimensional quasilmear equation -del(.) (\delu\(p-2)delu) + \u\(q-1) u = 0 under the form u(r, theta) = r(-beta)omega(theta). We obtain the full description of the set of such solutions by combining a 2-dimensional shooting method with a phase plane analysis approach.