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Inequalities for the minimal eigenvalue of the laplacian in an annulus
We discuss the behavior of the minimal eigenvalue λ of the Dirichlet Laplacian in the domain D 1 \D 2 := D (an annulus) where D 1 is a circular disc and D 2 ⊂ D 1 is a smaller circular disc.It is conjectured that the minimal eigenvalue λ has …