English

Local behavior of p-harmonic Green's functions in metric spaces

Analysis of PDEs 2010-12-22 v1 Metric Geometry

Abstract

We describe the behavior of p-harmonic Green's functions near a singularity in metric measure spaces equipped with a doubling measure and supporting a Poincar\'e inequality.

Keywords

Cite

@article{arxiv.0807.1323,
  title  = {Local behavior of p-harmonic Green's functions in metric spaces},
  author = {Donatella Danielli and Nicola Garofalo and Niko Marola},
  journal= {arXiv preprint arXiv:0807.1323},
  year   = {2010}
}