English

The asymptotic behaviour of $p$-capacitary potentials in Asymptotically Conical manifolds

Differential Geometry 2022-07-19 v1 Analysis of PDEs

Abstract

We study the asymptotic behaviour of the pp-capacitary potential and of the weak Inverse Mean Curvature Flow of a bounded set along the ends of an Asymptotically Conical Riemannian manifolds with asymptotically nonnegative Ricci curvature.

Keywords

Cite

@article{arxiv.2207.08607,
  title  = {The asymptotic behaviour of $p$-capacitary potentials in Asymptotically Conical manifolds},
  author = {Luca Benatti and Mattia Fogagnolo and Lorenzo Mazzieri},
  journal= {arXiv preprint arXiv:2207.08607},
  year   = {2022}
}