43 citations · 106 across the 34 of their papers we have counts for
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math.SP2018
From Steklov to Neumann and beyond, via Robin: the Szegő way
Pedro Freitas, Richard S. Laugesen
The second eigenvalue of the Robin Laplacian is shown to be maximal for the disk among simply-connected planar domains of fixed area when the Robin parameter is scaled by perimeter…
math.SP2018
From Neumann to Steklov and beyond, via Robin: the Weinberger way
Pedro Freitas, Richard Laugesen
The second eigenvalue of the Robin Laplacian is shown to be maximal for the ball among domains of fixed volume, for negative values of the Robin parameter in the regime connect…
math.AP2018★ 1 cited
Extremal domains and Pólya-type inequalities for the Robin Laplacian on rectangles and unions of rectangles
Pedro Freitas, James Kennedy
We show that eigenvalues of the Robin Laplacian with a positive boundary parameter on rectangles and unions of rectangtes satisfy Pólya-type inequalities, albeit with an expone…