Optimisation and monotonicity of the second Robin eigenvalue on a planar exterior domain

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Cites Work

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The elastica problem under area constraint
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Über eine von Rayleigh formulierte Minimaleigenschaft des Kreises.
Beweis, daß unter allen homogenen Membranen von gleicher Fläche und gleicher Spannung die kreisförmige den tiefsten Grundton gibt.
Beweis des Satzes, daß\ von allen homogenen Membranen gegebenen Umfanges und gegebener Spannung die kreisförmige den tiefsten Grundton besitzt.
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