activity
20102021
most citedTwo optimization problems in thermal insulation

12 citations · 19 across the 6 of their papers we have counts for

collaborators
Showing math.APShow all

8 papers · 1 filter

math.AP2021

Sharp estimates for the Gaussian torsional rigidity with Robin boundary conditions

Francesco Chiacchio, Nunzia Gavitone, Carlo Nitsch +1

In this paper we provide a comparison result between the solutions to the torsion problem for the Hermite operator with Robin boundary conditions and the one of a suitable symmetri…

math.AP2020

Sharp estimates for solutions to elliptic problems with mixed boundary conditions

A. Alvino, F. Chiacchio, C. Nitsch +1

We show, using symmetrization techniques, that it is possible to prove a comparison principle (we are mainly focused on comparison) between solutions to an elliptic partial d…

math.AP2020

An optimization problem in thermal insulation with Robin boundary conditions

Francesco Della Pietra, Carlo Nitsch, Riccardo Scala +1

We study thermal insulating of a bounded body . Under a prescribed heat source , we consider a model of heat transfer between and the environmen…

math.AP2019

A Talenti comparison result for solutions to elliptic problems with Robin boundary conditions

A. Alvino, C. Nitsch, C. Trombetti

Comparison results of Talenti type for Elliptic Problems with Dirichlet boundary conditions have been widely investigated in the last decades. In this paper, we deal with Robin bou…

math.AP2018

On a Pólya functional for rhombi, isosceles triangles, and thinning convex sets

M. van den Berg, V. Ferone, C. Nitsch +1

Let be an open convex set in with finite width, and let be the torsion function for , i.e. the solution of . An upper bound is ob…

math.AP2018

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…