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Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 6, Pages 216–221 (Mi smj826)  

This article is cited in 76 scientific papers (total in 76 papers)

The equality between p-capacity and p-modulus

V. A. Shlyk
Abstract: The well-known Ohtsuka problem whether the p-modulus and p-capacity are equal is settled in the affirmative.
Received: 13.05.1992
Revised: 26.10.1992
English version:
Siberian Mathematical Journal, 1993, Volume 34, Issue 6, Pages 1196–1200
DOI: https://doi.org/10.1007/BF00973485
Bibliographic databases:
UDC: 517.5, 517.54
Language: Russian
Citation: V. A. Shlyk, “The equality between p-capacity and p-modulus”, Sibirsk. Mat. Zh., 34:6 (1993), 216–221; Siberian Math. J., 34:6 (1993), 1196–1200
Citation in format AMSBIB
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\by V.~A.~Shlyk
\paper The equality between $p$-capacity and $p$-modulus
\jour Sibirsk. Mat. Zh.
\yr 1993
\vol 34
\issue 6
\pages 216--221
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1268174}
\zmath{https://zbmath.org/?q=an:0810.31004}
\transl
\jour Siberian Math. J.
\yr 1993
\vol 34
\issue 6
\pages 1196--1200
\crossref{https://doi.org/10.1007/BF00973485}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MQ34600023}
Linking options:
  • https://www.mathnet.ru/eng/smj826
  • https://www.mathnet.ru/eng/smj/v34/i6/p216
  • This publication is cited in the following 76 articles:
    1. Igor Petkov, Ruslan Salimov, Mariia Stefanchuk, Trends in Mathematics, New Tools in Mathematical Analysis and Applications, 2025, 109  crossref
    2. Evgeny O. Sevost'yanov, Valery A. Targonskii, Nataliya S. Ilkevych, “On quasilinear Beltrami equations with restrictions on tangential dilation”, J Math Sci, 2025  crossref
    3. Tao Cheng, Shanshuang Yang, “Quasi‐invariance of modulus and quasisymmetry of weakly (L,M)‐quasisymmetric maps in metric spaces”, Mathematika, 70:1 (2024)  crossref
    4. Mariia V. Stefanchuk, “On exponential asymptotics of ring Q-homeomorphisms at infinity”, J Math Sci, 282:1 (2024), 83  crossref
    5. Evgeny Sevost'yanov, Valery Targonskii, “On direct and inverse Poletsky inequalities with a tangential dilatation”, Mathematica Slovaca, 74:1 (2024), 91  crossref
    6. Mariia Volodymyrivna Stefanchuk, “On exponential asymptotics of one class of homeomorphisms at a point of the complex plane”, PIGC, 17:2 (2024), 158  crossref
    7. Mariia V. Stefanchuk, “On exponential asymptotics of ring Q-homeomorphisms at infinity”, UMB, 21:1 (2024), 107  crossref
    8. Izv. Math., 87:4 (2023), 683–725  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    9. Bogdan Klishchuk, Ruslan Salimov, Mariia Stefanchuk, “On the asymptotic behavior at infinity of one mapping class”, PIGC, 16:1 (2023), 50  crossref
    10. R. R. Salimov, V. A. Klishchuk, “On the Behavior of One Class of Homeomorphisms at Infinity”, Ukr Math J, 74:10 (2023), 1617  crossref
    11. Igor Petkov, Ruslan Salimov, Mariia Stefanchuk, “On the distortion of the disk image diameter”, UMB, 20:2 (2023), 219  crossref
    12. Vladimir Gol'dshtein, Evgeny Sevost'yanov, Alexander Ukhlov, “On the boundary behavior of weak (p,q)-quasiconformal mappings”, UMB, 19:4 (2023), 478  crossref
    13. Evgeny Sevost'yanov, Developments in Mathematics, 78, Mappings with Direct and Inverse Poletsky Inequalities, 2023, 1  crossref
    14. Vladimir Gol'dshtein, Evgeny Sevost'yanov, Alexander Ukhlov, “On the boundary behavior of weak (p; q)-quasiconformal mappings”, J Math Sci, 270:3 (2023), 420  crossref
    15. R. Salimov, L. Vyhivska, B. Klishchuk, “On Distortions of the Transfinite Diameter of Disk Image”, Ukr Math J, 75:2 (2023), 235  crossref
    16. R. R. Salimov, E. O. Sevost'yanov, V. A. Targonskii, “On modulus inequality of the order p for the inner dilatation”, Mat. Stud., 59:2 (2023), 141  crossref
    17. Oleksandr Dovhopiatyi, Evgeny Sevost'yanov, “On the inverse Ki-inequality for one class of mappings”, Filomat, 37:24 (2023), 8145  crossref
    18. S. K. Vodopyanov, “Coincidence of set functions in quasiconformal analysis”, Sb. Math., 213:9 (2022), 1157–1186  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    19. Evgeny O. Sevost'yanov, “The inverse Poletsky inequality in one class of mappings”, J Math Sci, 264:4 (2022), 455  crossref
    20. Ruslan Salimov, Bogdan Klishchuk, Trends in Mathematics, Current Trends in Analysis, its Applications and Computation, 2022, 173  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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