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Russian Mathematical Surveys, 1979, Volume 34, Issue 1, Pages 19–74
DOI: https://doi.org/10.1070/RM1979v034n01ABEH002871
(Mi rm4016)
 

This article is cited in 43 scientific papers (total in 43 papers)

On geometric properties of functions with generalized first derivatives

S. K. Vodop'yanov, V. M. Gol'dstein, Yu. G. Reshetnyak
References:
Received: 12.06.1978
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: English
Original paper language: Russian
Citation: S. K. Vodop'yanov, V. M. Gol'dstein, Yu. G. Reshetnyak, “On geometric properties of functions with generalized first derivatives”, Russian Math. Surveys, 34:1 (1979), 19–74
Citation in format AMSBIB
\Bibitem{VodGolRes79}
\by S.~K.~Vodop'yanov, V.~M.~Gol'dstein, Yu.~G.~Reshetnyak
\paper On~geometric properties of~functions with generalized first derivatives
\jour Russian Math. Surveys
\yr 1979
\vol 34
\issue 1
\pages 19--74
\mathnet{http://mi.mathnet.ru/eng/rm4016}
\crossref{https://doi.org/10.1070/RM1979v034n01ABEH002871}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=525650}
\zmath{https://zbmath.org/?q=an:0407.30012|0429.30017}
Linking options:
  • https://www.mathnet.ru/eng/rm4016
  • https://doi.org/10.1070/RM1979v034n01ABEH002871
  • https://www.mathnet.ru/eng/rm/v34/i1/p17
  • This publication is cited in the following 43 articles:
    1. Alexander Menovschikov, Alexander Ukhlov, “Capacity of rings and mappings generate embeddings of Sobolev spaces”, Journal of Mathematical Analysis and Applications, 531:1 (2024), 127826  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. Alexander Ukhlov, “On geometric characterizations of mappings generating composition operators on Sobolev spaces”, J Math Sci, 282:1 (2024), 93  crossref
    4. VLADIMIR GOL'DSHTEIN, EVGENY SEVOST'YANOV, ALEXANDER UKHLOV, “COMPOSITION OPERATORS ON SOBOLEV SPACES AND”, MR, 26(76):2 (2024), 101  crossref
    5. 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
    6. Valerii Pchelintsev, Alexander Ukhlov, “Spectral Stability of the Dirichlet–Laplacian in Two-Connected Domains”, J Math Sci, 281:5 (2024), 805  crossref
    7. Alexander Ukhlov, “On geometric characterizations of mappings generating composition operators on Sobolev spaces”, UMB, 21:1 (2024), 120  crossref
    8. Izv. Math., 87:4 (2023), 683–725  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    9. Vladimir Gol'dshtein, Evgeny Sevost'yanov, Alexander Ukhlov, “On the boundary behavior of weak (p,q)-quasiconformal mappings”, UMB, 19:4 (2023), 478  crossref
    10. Evgeny Sevost'yanov, Developments in Mathematics, 78, Mappings with Direct and Inverse Poletsky Inequalities, 2023, 1  crossref
    11. V. A. Pchelintsev, “Estimates for Variation of the First Dirichlet Eigenvalue of the Laplace Operator”, J Math Sci, 261:3 (2022), 444  crossref
    12. Pablo V. Negrón-Marrero, Jeyabal Sivaloganathan, “Infinite Energy Cavitating Solutions: A Variational Approach”, SIAM J. Appl. Math., 82:3 (2022), 849  crossref
    13. V. Gol'dshtein, V. Pchelintsev, A. Ukhlov, “Estimates for Dirichlet Eigenvalues of Divergence Form Elliptic Operators in Non-Lipschitz Domains”, J Math Sci, 268:3 (2022), 343  crossref
    14. E. A. Sevostyanov, “O klassakh Orlicha — Soboleva na faktor-prostranstvakh”, Matem. tr., 24:1 (2021), 175–204  mathnet  crossref
    15. A. S. Romanov, “On the isomorphism of Sobolev-type classes on metric spaces”, Siberian Math. J., 62:4 (2021), 707–718  mathnet  crossref  crossref  isi  elib
    16. Alexander Menovschikov, Alexander Ukhlov, “Composition operators on Hardy-Sobolev spaces and BMO-quasiconformal mappings”, UMB, 18:2 (2021), 209  crossref
    17. E. A. Sevost'yanov, “On Orlicz–Sobolev Classes on Quotient Spaces”, Sib. Adv. Math., 31:3 (2021), 209  crossref
    18. Evgeny M. Mirkes, “Universal Gorban's Entropies: Geometric Case Study”, Entropy, 22:3 (2020), 264  crossref
    19. Parisa Hariri, Riku Klén, Matti Vuorinen, Springer Monographs in Mathematics, Conformally Invariant Metrics and Quasiconformal Mappings, 2020, 7  crossref
    20. L. Kleprlík, A. O. Molchanova, T. Roskovec, “Example of a smooth homeomorphism violating the Luzin N1 property”, Siberian Math. J., 60:5 (2019), 886–895  mathnet  crossref  crossref  isi  elib
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