For a non-empty, bounded, open, and convex set of class C^2 , we consider the Torsional Rigidity associated to the k-Hessian operator. We first prove Pólya type lower bound for the k-Torsional Rigidity in any dimension; then, in order to investigate optimal sets in the Pólya type inequality, we provide two quantitative estimates.
Some shape functionals for the k-Hessian equation / Masiello, Alba Lia; Salerno, Francesco. - (2025).
Some shape functionals for the k-Hessian equation
Alba Lia Masiello;Francesco Salerno
2025
Abstract
For a non-empty, bounded, open, and convex set of class C^2 , we consider the Torsional Rigidity associated to the k-Hessian operator. We first prove Pólya type lower bound for the k-Torsional Rigidity in any dimension; then, in order to investigate optimal sets in the Pólya type inequality, we provide two quantitative estimates.File in questo prodotto:
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