Dirichlet problems for harmonic functions in half spaces
In our paper, we prove that if the positive part u+(x) of a harmonic function u(x) in a half space satisfies the condition of slow growth, then its negative part u−(x) can also be dominated by a similar growth condition. Moreover, we give an integral representation of the function u(x). Further, a s...
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| Date: | 2014 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2014
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| Series: | Український математичний журнал |
| Subjects: | |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Dirichlet problems for harmonic functions in half spaces / Lei Qiao // Український математичний журнал. — 2014. — Т. 66, № 10. — С. 1367–1378. — Бібліогр.: 12 назв. — англ. |
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