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Showing 2007 · math.SPShow all
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math.SP2007★ 1 cited
A sharp upper bound for the first Dirichlet eigenvalue and the growth of the isoperimetric constant of convex domains
Pedro Freitas, David Krejcirik
We show that as the ratio between the first Dirichlet eigenvalues of a convex domain and of the ball with the same volume becomes large, the same must happen to the corresponding r…
math.SP2007
Asymptotics of the eigenvalues of elliptic systems with fast oscillating coefficients
D. Borisov
We consider singularly perturbed second order elliptic system in the whole space with fast oscillating coefficients. We construct the complete asymptotic expansions for the eigenva…