arXiv subjects

Marcos Petrucio Cavalcante

Publications and source records attributed to Marcos Petrucio Cavalcante.

2 recordsLinked to original sources

arXiv2023

On the fundamental tone of the $p$-Laplacian on Riemannian manifolds and applications

We present a general lower bound for the fundamental tone for the $p$-Laplacian on Riemannian manifolds carrying a special kind of function. We then apply our result to the cases of negatively curved simply connected manifolds, a class of warped product manifolds and for a class of Riemannian submersions.

math.DG↗

arXiv2013

The p-Hyperbolicity of Infinity Volume Ends and Applications

In this paper we prove a characterization of $p$-hyperbolic ends on complete Riemannian manifolds which carries a Sobolev type inequality.

math.DG↗