A nonradial bifurcation result with applications to supercritical problems

Abstract

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 bifurcate from the radial one when $\alpha$ is an even integer.

20 pages

References in corpus (2)

• Nonradial solutions for the Hénon equation in $R^N$
• On the Hardy-Sobolev equation

Cited by in corpus (1)

• Nonradial sign changing solutions to Lane Emden equation