Steklov Eigenvalues and Quasiconformal Maps of Simply Connected Planar Domains

We investigate isoperimetric upper bounds for sums of consecutive Steklov eigenvalues of planar domains. The normalization involves the perimeter and scale-invariant geometric factors which measure deviation of the domain from roundness. We prove sharp upper bounds for both starlike and simply conne...

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Veröffentlicht in:	Archive for rational mechanics and analysis 2016-02, Vol.219 (2), p.903-936
Hauptverfasser:	Girouard, A., Laugesen, R. S., Siudeja, B. A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical Mechanics Collection Complex Systems Deviation Eigenvalues Fluid- and Aerodynamics Functionals Mathematical and Computational Physics Physics Physics and Astronomy Roundness Spectra Sums Theoretical Upper bounds
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