37 citations · 81 across the 34 of their papers we have counts for
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math.AP2018★ 3 cited
A sharp estimate for the first Robin-Laplacian eigenvalue with negative boundary parameter
D. Bucur, V. Ferone, C. Nitsch +1
In this paper we prove that the ball maximizes the first eigenvalue of the Robin Laplacian operator with negative boundary parameter, among all convex sets of \mathbb{R}^n with pre…
math.AP2018
Optimal partitions for Robin Laplacian eigenvalues
Dorin Bucur, Ilaria Fragalà, Alessandro Giacomini
We prove the existence of an optimal partition for the multiphase shape optimization problem which consists in minimizing the sum of the first Robin Laplacian eigenvalue of mut…
math.AP2018
Maximization of the second non-trivial Neumann eigenvalue
Dorin Bucur, Antoine Henrot
In this paper we prove that the second (non-trivial) Neumann eigenvalue of the Laplace operator on smooth domains of R N with prescribed measure m attains its maximum on the union…