Inequalities for green functions in a Dini-Jordan domain in R-2

Authors
Selmi, M
Citation
M. Selmi, Inequalities for green functions in a Dini-Jordan domain in R-2, POTENT ANAL, 13(1), 2000, pp. 81-102
Citations number
21
Categorie Soggetti
Mathematics
Journal title
POTENTIAL ANALYSIS
ISSN journal
09262601 → ACNP
Volume
13
Issue
1
Year of publication
2000
Pages
81 - 102
Database
ISI
SICI code
0926-2601(200008)13:1<81:IFGFIA>2.0.ZU;2-H
Abstract
We establish inequalities for Green functions of Dini-smooth Jordan domains in R-2. We give a version of the 3G theorem for these domains. With the he lp of these results, we prove comparison theorems between the Green kernel of Delta and the Green kernel of Delta - mu where mu is a nonnegative Radon measure.