# Sharp estimates for the anisotropic torsional rigidity and the principal frequency

## TL;DR

This paper extends classical estimates of torsional rigidity and principal frequency to anisotropic, nonlinear operators in convex domains, providing sharper bounds and broader applicability.

## Contribution

It introduces generalized estimates for anisotropic torsional rigidity and principal frequency, expanding classical results to nonlinear, anisotropic settings in convex domains.

## Key findings

- Derived sharper bounds for anisotropic torsional rigidity.
- Extended classical estimates to nonlinear anisotropic operators.
- Applicable to convex domains with generalized functionals.

## Abstract

In this paper we generalize some classical estimates involving the torsional rigidity and the principal frequency of a convex domain to a class of functionals related to some anisotropic non linear operators.