5 papers
A reverse Faber--Krahn inequality for the Robin Laplacian with negative boundary parameter: small coupling in all dimensions
Nunzia Gavitone, David Krejcirik, Gloria Paoli
We establish Bareket's conjecture from 1977 for convex domains in all dimensions in the regime of weak boundary coupling. In other words, we consider the Laplace operator, subject…
Anisotropic gradient rearrangement of BV functions and applications
Gloria Paoli, Yabo Yang
In this paper, we introduce a symmetrization technique for the distributional gradient of a function of bounded variation in the anisotropic setting. This generalizes the result ob…
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…
Sharp estimates for the Laplacian torsional rigidity with negative Robin boundary conditions
Nunzia Gavitone, David Krejcirik, Gloria Paoli
Motivated by pioneering works of Bandle and Wagner, given a bounded Lipschitz domain with , we consider the Robin-Laplacian torsional rigidity $Ï_α…
A stability result for the first Robin-Neumann eigenvalue: A double perturbation approach
Simone Cito, Gloria Paoli, Gianpaolo Piscitelli
Let , , where and are two open, bounded and convex sets such that and let be…