Sharp bounds for the first eigenvalue and the torsional rigidity related to some anisotropic operators
Analysis of PDEs
2014-01-28 v1
Abstract
We prove a sharp upper bound for the first Dirichlet eigenvalue of a class of nonlinear elliptic operators which includes the p-Laplace and the pseudo-p-Laplace operators. Moreover, we prove a stability result by means of a suitable isoperimetric deficity. Finally, we give a sharp lower bound for the anisotropic p-torsional rigidity.
Keywords
Cite
@article{arxiv.1210.5848,
title = {Sharp bounds for the first eigenvalue and the torsional rigidity related to some anisotropic operators},
author = {Francesco Della Pietra and Nunzia Gavitone},
journal= {arXiv preprint arXiv:1210.5848},
year = {2014}
}