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math.OC2019★ 10 cited
On Blaschke-Santaló diagrams for the torsional rigidity and the first Dirichlet eigenvalue
Ilaria Lucardesi, Davide Zucco
We study Blaschke-Santaló diagrams associated to the torsional rigidity and the first eigenvalue of the Laplacian with Dirichlet boundary conditions. We work under convexity and vo…
math.OC2019
Optimal partitioning of an interval and applications to Sturm-Liouville eigenvalues
Paolo Tilli, Davide Zucco
We study the optimal partitioning of a (possibly unbounded) interval of the real line into subintervals in order to minimize the maximum of certain set-functions, under rather…