Abstract
We prove that among all doubly connected domains of ℝn of the form B1\B̅2, where B1 and B2 are open balls of fixed radii such that B̅2⊂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.
Subject
Computational Mathematics,Control and Optimization,Control and Systems Engineering
Cited by
7 articles.
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