Asymptotic behaviour and numerical approximation of optimal eigenvalues of the Robin Laplacian

Pedro R. S. Antunes, Pedro Freitas, James B. Kennedy

We consider the problem of minimising the $n^{th}-$eigenvalue of the Robin Laplacian in ${\mathbb{R}}^N$. Although for $n=1,2$ and a positive boundary parameter $\alpha$ it is known tha…