27 citations · 95 across the 24 of their papers we have counts for
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math.SP2014★ 9 cited
Steklov eigenvalues and quasiconformal maps of simply connected planar domains
A. Girouard, R. S. Laugesen, B. A. Siudeja
We investigate isoperimetric upper bounds for sums of consecutive Steklov eigenvalues of planar domains. The normalization involves the perimeter and scale-invariant geometric fact…
math.SP2014★ 2 cited
Spectral geometry of the Steklov problem
Alexandre Girouard, Iosif Polterovich
The Steklov problem is an eigenvalue problem with the spectral parameter in the boundary conditions, which has various applications. Its spectrum coincides with that of the Dirichl…