On the lowest eigenvalue of the Laplacian for the intersection of two domains

Elliott H.
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Elliott H.: Princeton University, Departments of Mathematics and Physics

A chapter in Inequalities, 2002, pp 555-562 from Springer

Abstract: Abstract If A and B are two bounded domains in Rn and λ(A) γ(B) are the lowest eigenvalues of — Δ with Dirichlet boundary conditions, then there is some translate, B x, of B such that λ(A Bx)

Keywords: Dirichlet Boundary Condition; Isoperimetric Inequality; Lower Eigenvalue; Compactness Lemma; Geometric Question (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55925-9_44

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DOI: 10.1007/978-3-642-55925-9_44

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