Sharp estimates for the anisotropic torsional rigidity and the principal frequency

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.

References in corpus (1)

• Sharp bounds for the first eigenvalue and the torsional rigidity related to some anisotropic operators

Cited by in corpus (5)

• On the second Dirichlet eigenvalue of some nonlinear anisotropic elliptic operators
• Sharp estimates for the first Robin eigenvalue of nonlinear elliptic operators
• On principal frequencies and inradius in convex sets
• Some inequalities involving perimeter and torsional rigidity
• The anisotropic $\infty$-Laplacian eigenvalue problem with Neumann boundary conditions