37 citations · 81 across the 34 of their papers we have counts for
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math.AP2020★ 3 cited
Degenerate free discontinuity problems and spectral inequalities in quantitative form
Dorin Bucur, Alessandro Giacomini, Mickaël Nahon
We introduce a new geometric-analytic functional that we analyse in the context of free discontinuity problems. Its main feature is that the geometric term (the length of the jump…
math.AP2020★ 1 cited
Asymptotic behaviour of the Steklov problem on dumbbell domains
Dorin Bucur, Antoine Henrot, Marco Michetti
We analyse the asymptotic behaviour of the eigenvalues and eigenvectors of a Steklov problem in a dumbbell domain consisting of two Lipschitz sets connected by a thin tube with van…
math.AP2020
Stability and instability issues of the Weinstock inequality
Dorin Bucur, Mickaël Nahon
Given two planar, conformal, smooth open sets and , we prove the existence of a sequence of smooth sets which geometrically converges to and such that the (perimet…