Konstantin Pankrashkin

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math.SP2024

Peculiar behavior of the principal Laplacian eigenvalue for large negative Robin parameters

Charlotte Dietze, Konstantin Pankrashkin

Let $I^c ◯ \subset R^{n}$ with $n \geq 2$ be a bounded Lipschitz domain with outer unit normal $I^½$ . For $I^\pm \in R$ let $R_{I^} c ◯^{I^} \pm$ be the Laplacian in $I^c ◯$ with the Robin bou…

math.SP2024

Laplacian eigenvalues with a large negative Robin parameter on a part of the boundary

Konstantin Pankrashkin

We consider the Laplacian eigenvalues for smooth planar domains with strongly attractive Robin conditions imposed on a part of the boundary and Neumann condition on the remaining b…