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

Donatella Danielli, Nicola Garofalo, Niko Marola

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

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 (US)
Pages (from-to)343-362
Number of pages20
JournalPotential Analysis
Volume32
Issue number4
DOIs
StatePublished - May 2010
Externally publishedYes

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

ASJC Scopus subject areas

  • Analysis

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