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4 papers
Geometric bounds for low Steklov eigenvalues of finite volume hyperbolic surfaces
Asma Hassannezhad, Antoine Métras, Hélène Perrin
We obtain geometric lower bounds for the low Steklov eigenvalues of finite-volume hyperbolic surfaces with geodesic boundary. The bounds we obtain depend on the length of a shortes…
Estimates for low Steklov eigenvalues of surfaces with several boundary components
Hélène Perrin
In this article, we give computable lower bounds for the first non-zero Steklov eigenvalue of a compact connected 2-dimensional Riemannian manifold with several cylindric…
Isoperimetric upper bound for the first eigenvalue of discrete Steklov problems
Hélène Perrin
We study upper bounds for the first non-zero eigenvalue of the Steklov problem defined on finite graphs with boundary. For finite graphs with boundary included in a Cayley graph as…
Lower bounds for the first eigenvalue of the Steklov problem on graphs
Hélène Perrin
We give lower bounds for the first non-zero Steklov eigenvalue on connected graphs. These bounds depend on the extrinsic diameter of the boundary and not on the diameter of the gra…