On the regular oblique derivative problem for harmonic functions (Q809224)
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scientific article; zbMATH DE number 4210518
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the regular oblique derivative problem for harmonic functions |
scientific article; zbMATH DE number 4210518 |
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On the regular oblique derivative problem for harmonic functions (English)
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1990
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The regular oblique derivative problem and the mixed Dirichlet-regular oblique derivative problem for harmonic functions in a domain \(\Omega \subset {\mathbb{R}}^ 3\) are considered. It is shown, in particular, that the system of values of an oblique derivative of harmonic homogeneous polynomials is complete in the space \(L_ 2(\partial \Omega)\otimes \{\mu_ 0\}\), where \(\mu\) is the eigenfunction of a certain singular boundary integral equation.
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regular oblique derivative
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harmonic functions
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