On the asymptotic behaviour of the eigenvalues of a Robin problem

Daniel Daners and James Kennedy

Preprint arXiv:0912.0318 [math.AP], December 2009
Differential and Integral Equations 23(2010), 659-669
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Abstract

We prove that every eigenvalue of a Robin problem with boundary parameter α on a sufficiently smooth domain behaves asymptotically like -α² as α goes to ∞. This generalises an existing result for the first eigenvalue.

AMS Subject Classification (2000): 35P15 (35B40, 35J05).

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