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math.OC2011★ 4 cited
On the boundary of the attainable set of the Dirichlet spectrum
Lorenzo Brasco, Carlo Nitsch, Aldo Pratelli
Denoting by the set of the pairs for all the open sets with unit measure, and by the union of two di…
math.AP2011
Best constants in Poincaré inequalities for convex domains
L. Esposito, C. Nitsch, C. Trombetti
We prove a Payne-Weinberger type inequality for the -Laplacian Neumann eigenvalues (). The inequality provides the sharp upper bound on convex domains, in terms of the d…