Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 40, pp. 1-5.
Title: A note on nodal non-radially symmetric solutions to
Emden-Fowler equations
Authors: Miguel Ramos (Univ. de Lisboa, Portugal)
Wenming Zou (Tsinghua Univ., Beijing, China)
Abstract:
We prove the existence of an unbounded sequence of
sign-changing and non-radially symmetric solutions to the problem
$-\Delta u = |u|^{p-1}u$ in $\Omega$, $u = 0$ on $\partial\Omega$,
$u(gx)= u(x$), $ x\in \Omega$, $g\in G$, where $\Omega$ is
an annulus of $\mathbb{R}^N$ ($N\geq 3$), $1