WHERE TO PLACE A SPHERICAL OBSTACLE SO AS TO MAXIMIZE THE FIRST NONZERO STEKLOV EIGENVALUE

Ftouhi I (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Esaim-Control Optimisation and Calculus of Variations EDP Sciences

Book Volume: 28

DOI: 10.1051/cocv/2021109

Abstract

We prove that among all doubly connected domains of R-n of the form B-1\(B-2) over bar, where B-1 and B-2 are open balls of fixed radii such that (B-2) over bar subset of B-1, the first nonzero Steklov eigenvalue achieves its maximal value uniquely when the balls are concentric. Furthermore, we show that the ideas of our proof also apply to a mixed boundary conditions eigenvalue problem found in literature.

Authors with CRIS profile

Ilias Ftouhi Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

How to cite

APA:

Ftouhi, I. (2022). WHERE TO PLACE A SPHERICAL OBSTACLE SO AS TO MAXIMIZE THE FIRST NONZERO STEKLOV EIGENVALUE. Esaim-Control Optimisation and Calculus of Variations, 28. https://dx.doi.org/10.1051/cocv/2021109

MLA:

Ftouhi, Ilias. "WHERE TO PLACE A SPHERICAL OBSTACLE SO AS TO MAXIMIZE THE FIRST NONZERO STEKLOV EIGENVALUE." Esaim-Control Optimisation and Calculus of Variations 28 (2022).

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