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JOURNALS // Algebra i Analiz

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

Prime ends and the Orlicz–Sobolev classes
D. A. Kovtonyuk, V. I. Ryazanov

This publication is cited in the following 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, “Boundary values in the geometric function theory in domains with moving boundaries”, Siberian Math. J., 65:3 (2024), 552–574  mathnet  crossref  crossref
  3. Izv. Math., 87:4 (2023), 683–725  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
  4. 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
  5. 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
  6. Evgeny Sevost'yanov, Developments in Mathematics, 78, Mappings with Direct and Inverse Poletsky Inequalities, 2023, 83  crossref
  7. Evgeny Sevost'yanov, Developments in Mathematics, 78, Mappings with Direct and Inverse Poletsky Inequalities, 2023, 263  crossref
  8. 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
  9. E. Sevost'yanov, “On global behavior of mappings with integral constraints”, Anal.Math.Phys., 12:3 (2022)  crossref
  10. 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
  11. 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
  12. 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
  13. 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
  14. E. A. Sevost'yanov, “Mezhove prodovzhennya vіdobrazhen z obernenoyu nerіvnіstyu Poletskogo po prostikh kіntsyakh”, Ukr. Mat. Zhurn., 73:7 (2021), 951  crossref
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. D. Kovtonyuk, I. Petkov, V. Ryazanov, “On the boundary behavior of mappings with finite distortion in the plane”, Lobachevskii J. Math., 38:2, SI (2017), 290–306  crossref  mathscinet  zmath  isi  scopus
  21. V.I. Ryazanov, S.V. Volkov, “Prime ends on the Riemann surfaces”, Dopov. Nac. akad. nauk Ukr., 2017, no. 9, 20  crossref
  22. Vladimir Ryazanov, Sergei Volkov, “Prime ends in the mapping theory on the Riemann surfaces”, J Math Sci, 227:1 (2017), 81  crossref


© Steklov Math. Inst. of RAS, 2026