On the structure of the second eigenfunctions of the p-Laplacian on a ball

T. V. Anoop, P. Drabek, Sarath Sasi

In this paper, we prove that the second eigenfunctions of the $p$-Laplacian, $p>1$, are not radial on the unit ball in ${\mathbb{R}}^N,$ for any $N\ge 2.$ Our proof relies on the var…