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math.SP2022★ 3 cited
Some recent developments on the Steklov eigenvalue problem
Bruno Colbois, Alexandre Girouard, Carolyn Gordon +1
The Steklov eigenvalue problem, first introduced over 125 years ago, has seen a surge of interest in the past few decades. This article is a tour of some of the recent developments…
math.SP2022★ 21 cited
Pólya's conjecture for Euclidean balls
Nikolay Filonov, Michael Levitin, Iosif Polterovich +1
The celebrated Pólya's conjecture (1954) in spectral geometry states that the eigenvalue counting functions of the Dirichlet and Neumann Laplacian on a bounded Euclidean domain can…