A nonradial bifurcation result with applications to supercritical problems

Anna Lisa Amadori, Francesca Gladiali

In this paper we consider the problem $-\Delta u=|x{|}^{\alpha }F(u)$ in $R^N$, with $\alpha >0$ and $N\ge 3$. Under some assumptions on $F$ we deduce the existence of nonradial solutions which bifurcat…