1 citations · 1 across the 2 of their papers we have counts for
6 papers
A unified quantitative approach to Chiti and Kohler--Jobin inequalities
Vincenzo Amato, Luca Barbato, Emanuele Cristoforoni +4
We obtain two quantitative results related to classical rearrangement inequalities for the first Dirichlet eigenvalue. The first one is a quantitative version of Chiti's reverse Hö…
Serrin-type overdetermined problem for the -Laplacian with Robin boundary conditions
Luca Barbato, Riccardo Molinarolo
Let be an open bounded connected subset of , , of class , for . Let and . We prove the symmetry of the solution of…
Local stability for a class of Saint-Venant type inequalities
Luca Barbato, Francesco Salerno
We establish a local stability result for a class of Saint-Venant type inequalities. Given the solution of the Dirichlet torsion problem in a domain , we consider shape func…
On the stability of the annulus for the torsion of multiply connected domains
Vincenzo Amato, Luca Barbato
We establish a quantitative version of the isoperimetric inequality for the torsion of multiply connected domains, among sets with given area and with given joint area of the holes…
Talenti comparison results for solutions to -Laplace equation on multiply connected domains
Luca Barbato, Francesco Salerno
In the last years comparison results of Talenti type for Elliptic Problems have been widely investigated. In this paper we obtain a comparison result for the -Laplace operator i…
Quantitative comparison results for first-order Hamilton-Jacobi equations
Vincenzo Amato, Luca Barbato
In this paper, we study a quantitative refinement of a classical symmetrisation result for first-order Hamilton-Jacobi equations. We prove that the deficit in the comparison result…