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20032026
most citedSome recent developments on the Steklov eigenvalue problem

3 citations · 3 across the 8 of their papers we have counts for

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math.SP2019

Robin spectrum: two disks maximize the third eigenvalue

Alexandre Girouard, Richard S. Laugesen

The third eigenvalue of the Robin Laplacian on a simply-connected planar domain of given area is bounded above by the third eigenvalue of a disjoint union of two disks, provided th…

math.AP2019

From Steklov to Neumann via homogenisation

Alexandre Girouard, Antoine Henrot, Jean Lagacé

We study a new link between the Steklov and Neumann eigenvalues of domains in Euclidean space. This is obtained through an homogenisation limit of the Steklov problem on a periodic…