English

Global comparison principles for the $p$-Laplace operator on Riemannian manifolds

Analysis of PDEs 2009-04-06 v1

Abstract

We prove global comparison results for the pp-Laplacian on a pp-parabolic manifold. These involve both real-valued and vector-valued maps with finite pp-energy.

Keywords

Cite

@article{arxiv.0904.0591,
  title  = {Global comparison principles for the $p$-Laplace operator on Riemannian manifolds},
  author = {Stefano Pigola and Giona Veronelli},
  journal= {arXiv preprint arXiv:0904.0591},
  year   = {2009}
}