Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

L. Briani - G. Buttazzo - F. Prinari

Inequalities between torsional rigidity and principal eigenvalue of the $p$-Laplacian

created by prinari on 19 May 2021

[BibTeX]

Submitted Paper

Inserted: 19 may 2021
Last Updated: 19 may 2021

Year: 2021

Abstract:

We consider the torsional rigidity and the principal eigenvalue related to the $p$-Laplace operator. The goal is to find upper and lower bounds to products of suitable powers of the quantities above in various classes of domains. The limit cases $p=1$ and $p=\infty$ are also analyzed, which amount to consider the Cheeger constant of a domain and functionals involving the distance function from the boundary.

Keywords: shape optimization, Torsional rigidity, Convex domains, principal eigenvalue, Cheeger constant


Download:

Credits | Cookie policy | HTML 5 | CSS 2.1