%0 Journal Article
%T On the nodal line of the second eigenfunction of the Laplacian over some concave domains in $\mathbb{R}^2$
%A Donghui Yang
%J Mathematics
%D 2010
%I arXiv
%X In this paper we will prove the nodal line $N$ of the second eigenfunction of the Laplacian over some simply connected concave domain $\Omega$ in $\mathbb{R}^2$ must intersect the boundary $\partial\Omega$ at exactly two points.
%U http://arxiv.org/abs/1004.5494v2