Local and global behavior of solutions of quasilinear equations of Emden-Fowler type

Abstract

We consider the equation div \((|\nabla u|^{p - 2} \nabla u) + |u|^{q - 1} u = 0\) for p≦N, 0<p−1<q. We study the isolated singularities and the behavior near infinity of nonradial positive solutions when q <N(p −1)/(N − p), and give a complete classification of local and global radial solutions of any sign, for any q.