On the eigenvalues of the biharmonic operator with Neumann boundary conditions on a thin set

Francesco Ferraresso, Luigi Provenzano

Let $\Omega$ be a bounded domain in ${\mathbb{R}}^2$ with smooth boundary $\partial \Omega$, and let ${\omega }_h$ be the set of points in $\Omega$ whose distance from the boundary is smaller than $h$. We pr…