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arXiv · 1804.10569

Eigenvalue variation under moving mixed Dirichlet-Neumann boundary conditions and applications

Laura Abatangelo·Veronica Felli·Corentin Léna
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Abstract

We deal with the sharp asymptotic behaviour of eigenvalues of elliptic operators with varying mixed Dirichlet-Neumann boundary conditions. In case of simple eigenvalues, we compute explicitly the constant appearing in front of the expansion's leading term. This allows inferring some remarkable consequences for Aharonov-Bohm eigenvalues when the singular part of the operator has two coalescing poles.

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Laura Abatangelo, Veronica Felli, Corentin Léna. 2018-04-27. Eigenvalue variation under moving mixed Dirichlet-Neumann boundary conditions and applications. https://arxiv.org/abs/1804.10569

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