Inequalities for Green functions in a Dini-Jordan domain in \(\mathbb{R}^2\)
type: Item
instance of: scholarly article
title: Inequalities for Green functions in a Dini-Jordan domain in \(\mathbb{R}^2\)
zbMATH Open document ID: 0959.31004
DOI: 10.1023/A:1008610631562
author: Mohamed Selmi
published in: Potential Analysis
publication date: 2000-10-30T00:00:00Z
review text: The author establishes inequalities for Green functions of Dini-smooth Jordan domains in \(\mathbb{R}^2\). A version of the 3G theorem is given for these domains. These results are used to prove comparison theorems for the Green kernel of \(\Delta- \mu\), \(\mu\) a nonnegative Radon measure, and the Green kernel of \(\Delta\).
reviewed by: Niels Jacob
Mathematics Subject Classification ID: 31A35
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 1523587
zbMATH Keywords: Green's function
zbMATH Keywords: comparison theorem
zbMATH Keywords: perturbation of the Laplacian
zbMATH Keywords: Dini-Jordan domains
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1523587