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math.AP2026
The Makai inequality in higher dimensions: qualitative and quantitative aspects
Vincenzo Amato, Nunzia Gavitone, Rossano Sannipoli
In this paper, given a convex, bounded, open set we prove a sharp inequality involving the Laplacian torsional rigidity and both the perimeter and the measu…
math.AP2026
Geometrical bounds for the torsion and the first eigenvalue of the Laplacian with Robin boundary condition
Rosa Barbato, Alba Lia Masiello, Rossano Sannipoli
In this paper, we deal with functionals involving the torsion and the first eigenvalue of the Laplacian with Robin boundary conditions (to which we refer as Robin Torsion and Robin…
math.AP2026
Sharp bounds and geometric properties of the first non trivial Steklov Neumann Eigenvalue
Sagar Basak, Gloria Paoli, Rossano Sannipoli +1
In this article, we study the mixed Steklov--Neumann eigenvalue problem on doubly connected domains. First, we show that among all doubly connected domains in of the…