Geodesic
A note on nodal non-radially symmetric solutions to Emden-Fowler equations
Electronic journal of differential equations, Tome 2009 (2009)
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 $\mathbb{R}^N (N\geq 3), 1$ and $G$ is a non-transitive closed subgroup of the orthogonal group $O(N)$.
Classification : 35J20, 35J25, 35B99
Keywords: Emden-Fowler equation, nodal solutions, symmetric solutions, variational methods 
@article{EJDE_2009__2009__a189,
     author = {Ramos,  Miguel and Zou,  Wenming},
     title = {A note on nodal non-radially symmetric solutions to {Emden-Fowler} equations},
     journal = {Electronic journal of differential equations},
     year = {2009},
     volume = {2009},
     zbl = {1173.35499},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a189/}
}
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Ramos,  Miguel; Zou,  Wenming. A note on nodal non-radially symmetric solutions to Emden-Fowler equations. Electronic journal of differential equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a189/