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

Donatella Danielli, Nicola Garofalo, Niko Marola*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

12 Citations (Scopus)

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 Poincaré inequality.

Original languageEnglish
Pages (from-to)343-362
Number of pages20
JournalPotential Analysis
Volume32
Issue number4
DOIs
Publication statusPublished - May 2010
MoE publication typeA1 Journal article-refereed

Keywords

  • Capacity
  • Doubling measure
  • Green function
  • Metric space
  • Minimizer
  • Newtonian space
  • p-Dirichlet integral
  • p-harmonic
  • p-Laplace equation and Poincaré inequality
  • Singular function
  • Sobolev space

Fingerprint

Dive into the research topics of 'Local behavior of p-harmonic Green's functions in metric spaces'. Together they form a unique fingerprint.

Cite this