ON THE COMPACTNESS OF ONE CLASS OF QUASICONFORMAL MAPPINGS
We consider an elliptic system in the disk |z| < 1 for the so-called p-analytic functions. This system admits degeneration at the boundary of the disk. We prove compactness of the family of K-quasiconformal mappings, which are the solutions of the uniformly elliptic systems approximating the d...
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| Format: | Article |
| Language: | English |
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Petrozavodsk State University
2019-10-01
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| Series: | Проблемы анализа |
| Subjects: | |
| Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=6670&lang=en |
| _version_ | 1818398194424348672 |
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| author | E. A. Shcherbakov I. A. Avdeyev |
| author_facet | E. A. Shcherbakov I. A. Avdeyev |
| author_sort | E. A. Shcherbakov |
| collection | DOAJ |
| description | We consider an elliptic system in the disk |z| < 1 for the
so-called p-analytic functions. This system admits degeneration at
the boundary of the disk. We prove compactness of the family of
K-quasiconformal mappings, which are the solutions of the uniformly elliptic systems approximating the degenerating one. |
| first_indexed | 2024-12-14T07:00:55Z |
| format | Article |
| id | doaj.art-7a69d380820b4c1aa87f49ce02652b02 |
| institution | Directory Open Access Journal |
| issn | 2306-3424 2306-3432 |
| language | English |
| last_indexed | 2024-12-14T07:00:55Z |
| publishDate | 2019-10-01 |
| publisher | Petrozavodsk State University |
| record_format | Article |
| series | Проблемы анализа |
| spelling | doaj.art-7a69d380820b4c1aa87f49ce02652b022022-12-21T23:12:25ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322019-10-018(26)314715110.15393/j3.art.2019.6670ON THE COMPACTNESS OF ONE CLASS OF QUASICONFORMAL MAPPINGSE. A. Shcherbakov0I. A. Avdeyev1Kuban State UniversityKuban State UniversityWe consider an elliptic system in the disk |z| < 1 for the so-called p-analytic functions. This system admits degeneration at the boundary of the disk. We prove compactness of the family of K-quasiconformal mappings, which are the solutions of the uniformly elliptic systems approximating the degenerating one.http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=6670&lang=enquasi-conformal mappingssobolev spaceselliptic systemsembedding theoremstopological mappingsdirichlet integraldouglas integralharmonic functions |
| spellingShingle | E. A. Shcherbakov I. A. Avdeyev ON THE COMPACTNESS OF ONE CLASS OF QUASICONFORMAL MAPPINGS Проблемы анализа quasi-conformal mappings sobolev spaces elliptic systems embedding theorems topological mappings dirichlet integral douglas integral harmonic functions |
| title | ON THE COMPACTNESS OF ONE CLASS OF QUASICONFORMAL MAPPINGS |
| title_full | ON THE COMPACTNESS OF ONE CLASS OF QUASICONFORMAL MAPPINGS |
| title_fullStr | ON THE COMPACTNESS OF ONE CLASS OF QUASICONFORMAL MAPPINGS |
| title_full_unstemmed | ON THE COMPACTNESS OF ONE CLASS OF QUASICONFORMAL MAPPINGS |
| title_short | ON THE COMPACTNESS OF ONE CLASS OF QUASICONFORMAL MAPPINGS |
| title_sort | on the compactness of one class of quasiconformal mappings |
| topic | quasi-conformal mappings sobolev spaces elliptic systems embedding theorems topological mappings dirichlet integral douglas integral harmonic functions |
| url | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=6670&lang=en |
| work_keys_str_mv | AT eashcherbakov onthecompactnessofoneclassofquasiconformalmappings AT iaavdeyev onthecompactnessofoneclassofquasiconformalmappings |