On the boundary limits of harmonic functions (Q1114815)
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scientific article; zbMATH DE number 4086023
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the boundary limits of harmonic functions |
scientific article; zbMATH DE number 4086023 |
Statements
On the boundary limits of harmonic functions (English)
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1988
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The article examines the boundary behavior of a harmonic function u on a bounded domain \(G\in R^ n\), subject to certain conditions of integrability of its gradient in \(L^ p\)-space. Conditions are established which assure the boundedness of u on G or near its boundary. The existence of nontangential limits is discussed.
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boundary limit
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finite limit
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harmonic function
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integrability
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gradient
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boundedness
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existence of nontangential limits
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