Inequalities for Green functions in a Dini-Jordan domain in \(\mathbb{R}^2\) (Q1583997)
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scientific article; zbMATH DE number 1523587
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inequalities for Green functions in a Dini-Jordan domain in \(\mathbb{R}^2\) |
scientific article; zbMATH DE number 1523587 |
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Inequalities for Green functions in a Dini-Jordan domain in \(\mathbb{R}^2\) (English)
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30 October 2000
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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 \(\Delta\).
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Green's function
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comparison theorem
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perturbation of the Laplacian
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Dini-Jordan domains
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0.89901507
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0.8982724
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0.8858048
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0.8851206
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0.88175786
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0.8804462
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0.8792553
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