Global estimates for non-symmetric Green type functions with applications to the \(p\)-Laplace equation (Q956602)
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scientific article; zbMATH DE number 5373444
| Language | Label | Description | Also known as |
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| English | Global estimates for non-symmetric Green type functions with applications to the \(p\)-Laplace equation |
scientific article; zbMATH DE number 5373444 |
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Global estimates for non-symmetric Green type functions with applications to the \(p\)-Laplace equation (English)
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25 November 2008
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In the study of potential theory and related fields, the Green function plays an important role. However it can not be represented explicitly except for the case of balls and the half-space, because its behavior depends on the shape of a given domain. The local behavior of the Green function near a singularity is independent of the shape of a domain. In contrast to a local estimate, a global estimate is effected by the shape of a domain. In the present paper the author presents global estimates for non-symmetric Green-type functions.
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quasi-symmetry
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\(p\)-Green function
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\(p\)-Martin kernel
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j\(p\)-harmonic measure
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