A Liouville-type theorem for the p-Laplacian on complete non-compact Riemannian manifolds

TL;DR

This paper proves a Liouville-type theorem for the p-Laplacian on complete non-compact Riemannian manifolds and explores applications to hypersurfaces in warped product manifolds.

Contribution

It establishes a new Liouville-type result for the p-Laplacian in a geometric setting and applies it to hypersurface theory.

Findings

Liouville-type theorem for the p-Laplacian proved

Results on complete non-compact hypersurfaces derived

Applications to warped product manifolds included

Abstract

A Liouville-type result for the p-Laplacian on complete Riemannian manifolds is proved. As an application are present some results concerning complete non-compact hypersurfaces immersed in a suitable warped product manifold.