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À propos de : Where to place a spherical obstacle so as to maximize the first nonzero Steklov eigenvalue        

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  • Where to place a spherical obstacle so as to maximize the first nonzero Steklov eigenvalue
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  • We prove that among all doubly connected domains of ℝ n of the form B1\ B̅ 2, where B1 and B2 are open balls of fixed radii such that B̅ 2⊂ B1, 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.
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  • cocv210165
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  • © The authors. Published by EDP Sciences, SMAI 2022
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  • The authors. Published by EDP Sciences, SMAI
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