Eigenvalues Estimates for the p-Laplace Operator on Manifolds
Differential Geometry
2008-08-15 v1
Abstract
We obtain geometric estimates for the first eigenvalue and the fundamental tone of the p-laplacian on manifolds in terms of admissible vector fields. Also, we defined a new spectral invariant and we show its relation with the geometry of the manifold.
Cite
@article{arxiv.0808.2028,
title = {Eigenvalues Estimates for the p-Laplace Operator on Manifolds},
author = {Barnabe P. Lima and J. Fabio Montenegro and Newton L. Santos},
journal= {arXiv preprint arXiv:0808.2028},
year = {2008}
}