On the potential theory in John domains.

Alano Ancona

Publicacions Matemàtiques (2007)

  • Volume: 51, Issue: 2, page 345-396
  • ISSN: 0214-1493

Abstract

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Using rather elementary and direct methods, we first recover and add on some results of Aikawa-Hirata-Lundh about the Martin boundary of a John domain. In particular we answer a question raised by these authors. Some applications are given and the case of more general second order elliptic operators is also investigated. In the last parts of the paper two potential theoretic results are shown in the framework of uniform domains or the framework of hyperbolic manifolds.

How to cite

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Ancona, Alano. "Sur la théorie du potentiel dans les domaines de John.." Publicacions Matemàtiques 51.2 (2007): 345-396. <http://eudml.org/doc/41899>.

@article{Ancona2007,
author = {Ancona, Alano},
journal = {Publicacions Matemàtiques},
keywords = {Teoría del potencial; Operadores elípticos; Desigualdad de Harnack; Martin boundary; John domains; Harnack boundary principle},
language = {fre},
number = {2},
pages = {345-396},
title = {Sur la théorie du potentiel dans les domaines de John.},
url = {http://eudml.org/doc/41899},
volume = {51},
year = {2007},
}

TY - JOUR
AU - Ancona, Alano
TI - Sur la théorie du potentiel dans les domaines de John.
JO - Publicacions Matemàtiques
PY - 2007
VL - 51
IS - 2
SP - 345
EP - 396
LA - fre
KW - Teoría del potencial; Operadores elípticos; Desigualdad de Harnack; Martin boundary; John domains; Harnack boundary principle
UR - http://eudml.org/doc/41899
ER -

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