On the multiplicity of the second eigenvalue of the Laplacian in non simply connected domains--with some numerics--

Bernard Helffer, Thomas Hoffmann-Ostenhof, François Jauberteau +1

We revisit an interesting example proposed by Maria Hoffmann-Ostenhof, the second author and Nikolai Nadirashvili of a bounded domain in R2 for which the second eigenvalue of the D…