Léonard Tschanz

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20212024

most citedSharp upper bounds for Steklov eigenvalues of a hypersurface of revolution with two boundary components in Euclidean space

3 citations · 5 across the 4 of their papers we have counts for

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math.DG2023★ 3 cited

Sharp upper bounds for Steklov eigenvalues of a hypersurface of revolution with two boundary components in Euclidean space

Léonard Tschanz

We investigate the question of sharp upper bounds for the Steklov eigenvalues of a hypersurface of revolution of the Euclidean space with two boundary components isometric to two c…

math.DG2022★ 1 cited

The Steklov problem on triangle-tiling graphs in the hyperbolic plane

Léonard Tschanz

We introduce a graph $Γ$ which is roughly isometric to the hyperbolic plane and we study the Steklov eigenvalues of a subgraph with boundary $Ω$ of $Γ$ . For $(Ω_{l})_{l \geq 1}$ a seq…

math.DG2021

Upper bounds for Steklov eigenvalues of subgraphs of polynomial growth Cayley graphs

Léonard Tschanz

We study the Steklov problem on a subgraph with boundary $(Ω, B)$ of a polynomial growth Cayley graph $Γ$ . We prove that for each $k \in N$ , the $k^{\mbox{th}}$ eigenvalue…