Symmetry breaking of an elliptic equation in expanding annuli

Abstract

We obtain non-radial bifurcation from radial solutions of a semilinear elliptic equation in expanding annuli of RN. To obtain the main results, we use a blow-up argument via the Morse index of the regular entire solutions of the equation (Formula presented.) The main results of this paper can be seen as applications of the properties of regular entire solutions of (0.1).