On the boundary-value problems for quasiconformal functions in the plane
Generalized solvability of the classical boundary value problems for analytic and quasiconformal functions in arbitrary Jordan domains with boundary data that are measurable with respect to the logarithmic capacity is established. Moreover, it is shown that the spaces of the found solutions have the...
Збережено в:
| Дата: | 2015 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2015
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| Назва видання: | Український математичний вісник |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/140873 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On the boundary-value problems for quasiconformal functions in the plane / V.Y. Gutlyanskii, V.I. Ryazanov, A.S. Yefimushkin // Український математичний вісник. — 2015. — Т. 12, № 3. — С. 363-389. — Бібліогр.: 29 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-140873 |
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| record_format |
dspace |
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irk-123456789-1408732018-07-18T01:23:27Z On the boundary-value problems for quasiconformal functions in the plane Gutlyanskii, V.Y. Ryazanov, V.I. Yefimushkin, A.S. Generalized solvability of the classical boundary value problems for analytic and quasiconformal functions in arbitrary Jordan domains with boundary data that are measurable with respect to the logarithmic capacity is established. Moreover, it is shown that the spaces of the found solutions have the infinite dimension. Finally, some applications to the boundary value problems for A-harmonic functions are given. 2015 Article On the boundary-value problems for quasiconformal functions in the plane / V.Y. Gutlyanskii, V.I. Ryazanov, A.S. Yefimushkin // Український математичний вісник. — 2015. — Т. 12, № 3. — С. 363-389. — Бібліогр.: 29 назв. — англ. 1810-3200 2010 MSC: 31A05, 31A20, 31A25, 31B25, 35Q15, 30E25, 31C05, 35F45 http://dspace.nbuv.gov.ua/handle/123456789/140873 en Український математичний вісник Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Generalized solvability of the classical boundary value problems for analytic and quasiconformal functions in arbitrary Jordan domains with boundary data that are measurable with respect to the logarithmic capacity is established. Moreover, it is shown that the spaces of the found solutions have the infinite dimension. Finally, some applications to the boundary value problems for A-harmonic functions are given. |
| format |
Article |
| author |
Gutlyanskii, V.Y. Ryazanov, V.I. Yefimushkin, A.S. |
| spellingShingle |
Gutlyanskii, V.Y. Ryazanov, V.I. Yefimushkin, A.S. On the boundary-value problems for quasiconformal functions in the plane Український математичний вісник |
| author_facet |
Gutlyanskii, V.Y. Ryazanov, V.I. Yefimushkin, A.S. |
| author_sort |
Gutlyanskii, V.Y. |
| title |
On the boundary-value problems for quasiconformal functions in the plane |
| title_short |
On the boundary-value problems for quasiconformal functions in the plane |
| title_full |
On the boundary-value problems for quasiconformal functions in the plane |
| title_fullStr |
On the boundary-value problems for quasiconformal functions in the plane |
| title_full_unstemmed |
On the boundary-value problems for quasiconformal functions in the plane |
| title_sort |
on the boundary-value problems for quasiconformal functions in the plane |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/140873 |
| citation_txt |
On the boundary-value problems for quasiconformal functions in the plane / V.Y. Gutlyanskii, V.I. Ryazanov, A.S. Yefimushkin // Український математичний вісник. — 2015. — Т. 12, № 3. — С. 363-389. — Бібліогр.: 29 назв. — англ. |
| series |
Український математичний вісник |
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AT gutlyanskiivy ontheboundaryvalueproblemsforquasiconformalfunctionsintheplane AT ryazanovvi ontheboundaryvalueproblemsforquasiconformalfunctionsintheplane AT yefimushkinas ontheboundaryvalueproblemsforquasiconformalfunctionsintheplane |
| first_indexed |
2023-10-18T21:23:38Z |
| last_indexed |
2023-10-18T21:23:38Z |
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