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 $\mathbb{R}^N$ ($N\geq 3$), $1<p< (N+2)/(N-2)$ and
 $G$  is a non-transitive closed subgroup of the orthogonal group $O(N)$.
 
Submitted February 19, 2009. Published March 19, 2009.
Math Subject Classifications: 35J20, 35J25, 35B99.
Key Words: Emden-Fowler equation; nodal solutions; symmetric solutions;
           variational methods.