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Algebra i Analiz, 2015, Volume 27, Issue 5, Pages 81–116 (Mi aa1456)  

This article is cited in 23 scientific papers (total in 23 papers)

Research Papers

Prime ends and the Orlicz–Sobolev classes

D. A. Kovtonyuk, V. I. Ryazanov

Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, Donetsk, Ukraine
References:
Received: 08.12.2014
English version:
St. Petersburg Mathematical Journal, 2016, Volume 27, Issue 5, Pages 765–788
DOI: https://doi.org/10.1090/spmj/1416
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. A. Kovtonyuk, V. I. Ryazanov, “Prime ends and the Orlicz–Sobolev classes”, Algebra i Analiz, 27:5 (2015), 81–116; St. Petersburg Math. J., 27:5 (2016), 765–788
Citation in format AMSBIB
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\pages 765--788
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Linking options:
  • https://www.mathnet.ru/eng/aa1456
  • https://www.mathnet.ru/eng/aa/v27/i5/p81
  • This publication is cited in the following 23 articles:
    1. Evgeny Sevost'yanov, Oleksandr Dovhopiatyi, “On the Compactness of One Class of Solutions for the Dirichlet Problem”, Z. mat. fiz. anal. geom., 20:1 (2024), 82  crossref
    2. S. K. Vodopyanov, S. V. Pavlov, “O granichnykh znacheniyakh v geometricheskoi teorii funktsii v oblastyakh s podvizhnymi granitsami”, Sib. matem. zhurn., 65:3 (2024), 489–516  mathnet  crossref
    3. S. K. Vodopyanov, S. V. Pavlov, “Boundary Values in the Geometric Function Theory in Domains with Moving Boundaries”, Sib Math J, 65:3 (2024), 552  crossref
    4. Izv. Math., 87:4 (2023), 683–725  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    5. Evgeny Sevost'yanov, Oleksandr Dovhopiatyi, Nataliya Ilkevych, Vitalina Kalenska, “On the boundary extension of mappings on Riemannian surfaces in terms of prime ends”, J Math Sci, 274:3 (2023), 370  crossref
    6. Evgeny Sevost'yanov, Oleksandr Dovhopiatyi, Nataliya Ilkevych, Vitalina Kalenska, “On the boundary extension of mappings on Riemannian surfaces in terms of prime ends”, UMB, 20:2 (2023), 241  crossref
    7. Evgeny Sevost'yanov, Developments in Mathematics, 78, Mappings with Direct and Inverse Poletsky Inequalities, 2023, 83  crossref
    8. Evgeny Sevost'yanov, Developments in Mathematics, 78, Mappings with Direct and Inverse Poletsky Inequalities, 2023, 263  crossref
    9. N. S. Ilkevych, E. A. Sevost'yanov, “On Equicontinuity of the Families of Mappings with One Normalization Condition in Terms of Prime Ends”, Ukr Math J, 74:6 (2022), 936  crossref
    10. E. Sevost'yanov, “On global behavior of mappings with integral constraints”, Anal.Math.Phys., 12:3 (2022)  crossref
    11. N. S. Ilkevych, E. A. Sevost'yanov, “Odnostaina neperervnіst sіmei vіdobrazhen z umovoyu normuvannya v termіnakh prostikh kіntsіv”, Ukr. Mat. Zhurn., 74:6 (2022), 817  crossref
    12. E. Sevost'yanov, O. P. Dovhopiatyi, N. S. Ilkevych, V. P. Kalenska, “On equicontinuity of families of mappings between Riemannian surfaces with respect to prime ends”, Mat. Stud., 57:2 (2022), 157  crossref
    13. E. A. Sevost'yanov, S. Sergei, “Equicontinuity of Families of Mappings with One Normalization Condition”, Math. Notes, 109:4 (2021), 614–622  mathnet  crossref  crossref  isi  elib
    14. Sevost'yanov E.A., “Boundary Extensions of Mappings Satisfying the Poletsky Inverse Inequality in Terms of Prime Ends”, Ukr. Math. J., 73:7 (2021), 1107–1121  crossref  mathscinet  isi
    15. E. A. Sevost'yanov, “Mezhove prodovzhennya vіdobrazhen z obernenoyu nerіvnіstyu Poletskogo po prostikh kіntsyakh”, Ukr. Mat. Zhurn., 73:7 (2021), 951  crossref
    16. D. P. Ilyutko, E. A. Sevost'yanov, “Boundary behaviour of open discrete mappings on Riemannian manifolds. II”, Sb. Math., 211:4 (2020), 539–582  mathnet  crossref  crossref  zmath  adsnasa  isi  elib
    17. E. Afanas'eva, V. Ryazanov, R. Salimov, E. Sevost'yanov, “On boundary extension of Sobolev classes with critical exponent by prime ends”, Lobachevskii J. Math., 41:11, SI (2020), 2091–2102  crossref  mathscinet  zmath  isi  scopus
    18. Sevost'yanov E.A., Skvortsov S.A., “On the Equicontinuity of Families of Mappings in the Case of Variable Domains”, Ukr. Math. J., 71:7 (2019), 1071–1086  crossref  mathscinet  isi
    19. M. Cristea, “On the lightness of the mappings satisfying generalized inverse modular inequalities”, Isr. J. Math., 227:2 (2018), 545–562  crossref  mathscinet  isi  scopus
    20. E. A. Sevost'yanov, “On boundary extension and equicontinuity of families of mappings in terms of prime ends”, St. Petersburg Math. J., 30:6 (2019), 973–1005  mathnet  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
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