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...
Gespeichert in:
| Veröffentlicht in: | Український математичний вісник |
|---|---|
| Datum: | 2015 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2015
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/140873 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-140873 |
|---|---|
| record_format |
dspace |
| spelling |
Gutlyanskii, V.Y. Ryazanov, V.I. Yefimushkin, A.S. 2018-07-17T14:16:09Z 2018-07-17T14:16:09Z 2015 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 https://nasplib.isofts.kiev.ua/handle/123456789/140873 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. en Інститут прикладної математики і механіки НАН України Український математичний вісник On the boundary-value problems for quasiconformal functions in the plane Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On the boundary-value problems for quasiconformal functions in the plane |
| spellingShingle |
On the boundary-value problems for quasiconformal functions in the plane Gutlyanskii, V.Y. Ryazanov, V.I. Yefimushkin, A.S. |
| 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 |
| author |
Gutlyanskii, V.Y. Ryazanov, V.I. Yefimushkin, A.S. |
| author_facet |
Gutlyanskii, V.Y. Ryazanov, V.I. Yefimushkin, A.S. |
| publishDate |
2015 |
| language |
English |
| container_title |
Український математичний вісник |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1810-3200 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT gutlyanskiivy ontheboundaryvalueproblemsforquasiconformalfunctionsintheplane AT ryazanovvi ontheboundaryvalueproblemsforquasiconformalfunctionsintheplane AT yefimushkinas ontheboundaryvalueproblemsforquasiconformalfunctionsintheplane |
| first_indexed |
2025-12-07T17:13:34Z |
| last_indexed |
2025-12-07T17:13:34Z |
| _version_ |
1850870453226176512 |