Alexandre Girouard

We investigate the Steklov eigenvalue problem in the exterior of a bounded Euclidean domain. In particular, we prove the equivalence of several formulations of this problem previously proposed in the literature. We derive geometric eigenvalue...

We obtain upper bounds for the Steklov eigenvalues of warped products Ω × h Σ , where Ω is a compact Riemannian manifold with boundary and Σ is a closed Riemannian manifold, under assumptions on the L p -norm of the warping function h . The upper...