In this note we establish two-sided pointwise estimates near the pole of the Green function for X-elliptic operators in divergence form enjoying the doubling condition and the Poincaré inequality. As a step towards this result, we also prove a nonhomogeneous Harnack inequality, some representation formulas and a result on approximation by regular domains.

Estimates of the Green function for X-elliptic operators

UGUZZONI, FRANCESCO
2015

Abstract

In this note we establish two-sided pointwise estimates near the pole of the Green function for X-elliptic operators in divergence form enjoying the doubling condition and the Poincaré inequality. As a step towards this result, we also prove a nonhomogeneous Harnack inequality, some representation formulas and a result on approximation by regular domains.
2015
Francesco Uguzzoni
File in questo prodotto:
Eventuali allegati, non sono esposti

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/371524
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 13
  • ???jsp.display-item.citation.isi??? 13
social impact