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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2002, Number 10, Pages 11–33 (Mi ivm1074)  

This article is cited in 60 scientific papers (total in 60 papers)

Superposition operators in Sobolev spaces

S. K. Vodop'yanov, A. D.-O. Ukhlov

Novosibirsk State University
References:
Received: 26.06.2002
Bibliographic databases:
UDC: 517.548+517.988
Language: Russian
Citation: S. K. Vodop'yanov, A. D.-O. Ukhlov, “Superposition operators in Sobolev spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 10, 11–33; Russian Math. (Iz. VUZ), 46:10 (2002), 9–31
Citation in format AMSBIB
\Bibitem{VodUkh02}
\by S.~K.~Vodop'yanov, A.~D.-O.~Ukhlov
\paper Superposition operators in Sobolev spaces
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2002
\issue 10
\pages 11--33
\mathnet{http://mi.mathnet.ru/ivm1074}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1956487}
\zmath{https://zbmath.org/?q=an:1033.47020}
\elib{https://elibrary.ru/item.asp?id=9083521}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2002
\vol 46
\issue 10
\pages 9--31
Linking options:
  • https://www.mathnet.ru/eng/ivm1074
  • https://www.mathnet.ru/eng/ivm/y2002/i10/p11
  • This publication is cited in the following 60 articles:
    1. D. V. Isangulova, “Topologicheskie svoistva otobrazhenii s konechnym iskazheniem na gruppakh Karno”, Sib. matem. zhurn., 65:1 (2024), 57–73  mathnet  crossref
    2. A. O. Tomilov, “An estimate for the measure of the preimage of a ball under Qq,p-homeomorphisms”, Siberian Math. J., 65:6 (2024), 1395–1401  mathnet  crossref  crossref
    3. Izv. Math., 87:4 (2023), 683–725  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    4. Gol'dshtein V., Pchelintsev V., Ukhlov A., “Quasiconformal Mappings and Neumann Eigenvalues of Divergent Elliptic Operators”, Complex Var. Elliptic Equ., 67:9 (2022), 2281–2302  crossref  isi  scopus
    5. S. K. Vodopyanov, “Coincidence of set functions in quasiconformal analysis”, Sb. Math., 213:9 (2022), 1157–1186  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    6. S. K. Vodopyanov, N. A. Evseev, “Functional and analytical properties of a class of mappings of quasiconformal analysis on Carnot groups”, Siberian Math. J., 63:2 (2022), 233–261  mathnet  crossref  crossref
    7. Vodopyanov S.K., “Moduli Inequalities For W-N-1,Loc(1)-Mappings With Weighted Bounded (Q, P)-Distortion”, Complex Var. Elliptic Equ., 66:6-7, SI (2021), 1037–1072  crossref  mathscinet  zmath  isi  scopus
    8. S. K. Vodopyanov, A. O. Tomilov, “Functional and analytic properties of a class of mappings in quasi-conformal analysis”, Izv. Math., 85:5 (2021), 883–931  mathnet  crossref  crossref  zmath  adsnasa  isi  elib
    9. S. K. Vodopyanov, “On the equivalence of two approaches to problems of quasiconformal analysis”, Siberian Math. J., 62:6 (2021), 1010–1025  mathnet  crossref  crossref  isi  elib
    10. Gol'dshtein V., Pchelintsev V., Ukhlov A., “Spectral Stability Estimates of Neumann Divergence Form Elliptic Operators”, Math. Rep., 23:1-2 (2021), 131–147  mathscinet  isi
    11. N. A. Evseev, A. V. Menovschikov, “On changing variables in Lp-spaces with distributed-microstructure”, Russian Math. (Iz. VUZ), 64:3 (2020), 82–86  mathnet  crossref  crossref  isi
    12. S. K. Vodopyanov, “The regularity of inverses to Sobolev mappings and the theory of Qq,p-homeomorphisms”, Siberian Math. J., 61:6 (2020), 1002–1038  mathnet  crossref  crossref  isi  elib
    13. Ukhlov A., “Extension Operators on Sobolev Spaces With Decreasing Integrability”, Trans. A Razmadze Math. Inst., 174:3 (2020), 381–388  mathscinet  isi
    14. Gol'dshtein V., Hurri-Syrjanen R., Pchelintsev V., Ukhlov A., “Space Quasiconformal Composition Operators With Applications to Neumann Eigenvalues”, Anal. Math. Phys., 10:4 (2020), 78  crossref  mathscinet  zmath  isi  scopus
    15. Gol'dshtein V., Pchelintsev V., Ukhlov A., “Spectral Stability Estimates of Dirichlet Divergence Form Elliptic Operators”, Anal. Math. Phys., 10:4 (2020), 74  crossref  mathscinet  zmath  isi  scopus
    16. S. K. Vodopyanov, “Admissible changes of variables for Sobolev functions on (sub-)Riemannian manifolds”, Sb. Math., 210:1 (2019), 59–104  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    17. St. Petersburg Math. J., 31:2 (2019), 325–335  mathnet  crossref  isi  elib
    18. 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
    19. Molchanova A., Vodopyanov S., “Injectivity Almost Everywhere and Mappings With Finite Distortion in Nonlinear Elasticity”, Calc. Var. Partial Differ. Equ., 59:1 (2019), 17  crossref  mathscinet  isi  scopus
    20. Gol'dshtein V., Ukhlov A., “Composition Operators on Sobolev Spaces and Neumann Eigenvalues”, Complex Anal. Oper. Theory, 13:6, SI (2019), 2781–2798  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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