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math.AP2023
Mean-to-max ratio of the torsion function and honeycomb structures
Luca Briani, Dorin Bucur
In this paper we study extremal behaviors of the mean to max ratio of the -torsion function with respect to the geometry of the domain. For larger than the dimension of the…
math.AP2022
Sharp inequalities for Neumann eigenvalues on the sphere
Dorin Bucur, Eloi Martinet, Mickaël Nahon
We prove that the second nontrivial Neumann eigenvalue of the Laplace-Beltrami operator on the unit sphere is maximized by the union of tw…
math.AP2016
The quantitative Faber-Krahn inequality for the Robin Laplacian
D. Bucur, V. Ferone, C. Nitsch +1
We prove a quantitative Faber-Krahn inequality for the first eigenvalue of the Laplace operator with Robin boundary conditions. The asymmetry term involves the square power of the…