Department of Complex Analysis and Potential Theory

Yaroslav Zabolotniy

Ph.D. in Mathematics

Senior Research Fellow, Institute of Mathematics
of the National Academy of Sciences of Ukraine

ORCID: 0000-0002-1878-2077
  • 2022 - now - Senior Research Fellow, Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine.
  • 2018 - 2022 - Research Fellow, Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine.
  • 2011 - 2018 - Junior Research Fellow, Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine.
  • 2008 - 2011 - Postgraduate student, Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine.
  • 2008 - Assistent of Department of Mathematical Analysis, Ternopil Volodymyr Gnatiuk Natoinal Pedagogical University, Ternopil, Ukraine.
  • Geometric function theory of a complex variable
  • Theory of analytic functions of a complex variable
  • 2014 - Degree of Candidate of Physical and Mathematical Sciences, Institute of Mathematics of National Academy of Sciences of Ukraine, Kyiv, Ukraine.
  • 2008 - Master's degree in Mathematics, Ternopil Volodymyr Gnatiuk Natoinal Pedagogical University, Ternopil, Ukraine.
  • 2007 - Bachelor's degree in Mathematics, Ternopil Volodymyr Gnatiuk Natoinal Pedagogical University, Ternopil, Ukraine.
  • 2025 - Denega I.V., Zabolotnyi Ya.V., Inequalities for the Inner Radii of Domains Containing an Arbitrary Ellipse Points and Infinity, In: Ebert, M.R., Kähler, U., Sabadini, I., Toft, J. (eds) New Tools in Mathematical Analysis and Applications. ISAAC 2023. Trends in Mathematics. Birkhäuser, Cham., p. 65–76. https://doi.org/10.1007/978-3-031-77050-0_6
  • 2024 - Ya.V. Zabolotnii, I.V. Denega, On products of inner radii of non-overlapping domains containing certain segment points, Complex Variables and Elliptic Equations, 2024, p. 1-14, published online 03 Nov 2024. https://doi.org/10.1080/17476933.2024.2416413
  • 2024 - Denega I.V., Zabolotnyi Ya.V., Some extremal problems on the Riemannian sphere, Carpathian Mathematical Publications, 2024, V. 16, №2, P. 593–605. https://doi.org/10.15330/cmp.16.2.593-605
  • 2024 - Zabolotnyi, Ya.V., The problem of the maximum of product of inner radii of non-overlapping domains, some of there are symmetric with respect to the unit circle, Proc. IAMM NASU, V. 38 №2, p. 67-78. https://doi.org/10.37069/1683-4720-2024-38-7
  • 2024 - Denega I.V.,Zabolotnyi Ya.V., On products of the inner radii of the domains containing points of some straight line, ournal of Mathematical Sciences, 2024,V. 284, №3, p. 299-314. https://doi.org/10.1007/s10958-024-07351-2
  • 2023 - Denega I.V., Zabolotnyi Ya.V., Application of upper estimates for products of inner radii to distortion theorems for univalent functions., Matematychni Studii, 2023, 60 N 2, p. 138–144. https://doi.org/10.30970/ms.60.2.138-144
  • 2023 - Iryna Denega, Yaroslav Zabolotnyi., O.K. Bakhtin. Scientific legacy, Proceedings of the International Geometry Center, 2023, 16 №1, p. 1–16. https://doi.org/10.15673/tmgc.v16i1.2387
  • 2022 - Bakhtin, A.K., Zabolotnii, Y.V., Estimation of the Products of Some Powers of Inner Radii for Multiconnected Domains, Ukr Math J, V. 73, p. 1341–1358. https://doi.org/10.1007/s11253-022-01998-3
  • 2021 - Ya.V. Zabolotnii, I.V. Denega., An extremal problem on non-overlapping domains containing ellipse points, Eurasian Math. J., 12:4, 82–91. https://doi.org/10.32523/2077-9879-2021-12-4-82-91
  • 2021 - Bakhtin, A.K., Zabolotnii, Y.V., Estimates of the Products on Inner Radii for Multiconnected Domains, Ukr Math J, V. 73, p. 6–21 https://doi.org/10.1007/s11253-021-01904-3
  • 2021 - Zabolotnii, Y.V., The Problem of V. N. Dubinin for Symmetric Multiconnected Domains, Ukr Math J, V. 72, p. 1733–1741 https://doi.org/10.1007/s11253-021-01884-4
  • 2019 - Bakhtin, A.K., Zabolotnii, Ya.V., The problem of the product of inner radii of four nonoverlapping domains, some of there are symmetric about unit circle., Proc. IAMM NASU, 2019, V.33, p. 27-32.(in Ukrainian) http://doi.org/10.37069/1683-4720-2019-33-2
  • 2019 - Iryna Denega and Yaroslav Zabolotnii, Problem on extremal decomposition of the complex plane, Analele Universitatii" Ovidius" Constanta-Seria Matematica, Vol. 27, №1, 2019, pp. 61-77
  • 2019 - I.Denega and Ya.Zabolotnii, Extremal decomposition of multidimensional complex space of five domains, Journal of Mathematical Sciences, Vol. 241, No. 1, 2018, pp. 101–108.
  • 2018 - Ya.Zabolotnii, I. Denega, On Conformal Radii of Non-Overlapping Simply Connected Domains, International Journal of Advanced Research in Mathematics, Vol. 11, 2018, pp. 1-7
  • 2018 - Yaroslav V.Zabolotnyi, Liudmyla V.Vyhivska, On a product of the inner radii of symmetric multiply connected domains, Journal of Mathematical Sciences, Vol. 231, No. 1, 2018, pp. 101–109.
  • 2017 - Ya.Zabolotnii, I.Dvorak, Some evaluation of maximum of the product of conformal radii for pairwise non-overlapping domains, Lobachevskii Journal of Mathematics, 2017, Vol. 38, No. 3, pp. 554–559.
  • 2017 - Bakhtin A.K., Dvorak I.Ya., Zabolotnyi Ya.V., Estimates for the Product of Inner Radii of Five Nonoverlapping Domains, Ukrainian Mathematical Journal, July 2017, Volume 69, Issue 2, pp. 304–311.
  • 2017 - Irina V. Denega, Yaroslav V.Zabolotnyi, Problem of nonoverlapping polycylindrical domains with poleson the boundary of a polydisk, Journal of Mathematical Sciences, Vol. 227, No. 1, 2017, pp. 26–32.
  • 2017 - I.V. Denega & Ya.V. Zabolotnii., Estimates of products of inner radii of non-overlapping domains in the complex plane , Complex Variables and Elliptic Equations, Feb 2017, V.62, No. 11, pp. 1611–1618.
  • 2017 - A.K. Bakhtin and Ya.V. Zabolotnyi , Estimates of a product of the inner radii of nonoverlapping domains. , Journal of Mathematical Sciences, Vol. 221, No. 5, 2017, pp. 623–629.
  • 2016 - I.V. Denega, Y.V. Zabolotnii , Generalization of the some results on non-overlapping domains. , Proceedings of IAMM of NASU, 2016, Volume.30. pp. 43–52.
  • 2016 - Zabolotnij, Ja.V. , Determination of the maximum of a product of inner radii of pairwise nonoverlapping domains , Dopov. Nac. akad. nauk Ukr. 2016, No. 3. pp. 7–13. (in Ukrainian)
    DOI: 10.15407/dopovidi2016.03.007
  • 2015 - A.K. Bakhtin, Ya.V. Zabolotniy , On a particular case of the well-known problem of V.N. Dubinin. , Proceedings of IAMM of NASU, 2016, Volume.29. pp. 17–22.
  • 2013 - O. K. Bakhtin, Ja. V. Zabolotnij, Estimates of the product of the inner radii of three nonoverlapping domains , Dopov. Nac. akad. nauk Ukr. 2013, No.10. pp. 7–10. (in Ukrainian)
  • 2012 - Zabolotnyi Ya.V. , On one Dubinin extreme problem , Ukrainian Mathematical Journal, June 2012, Volume 64, Issue 1, pp. 24–34.
  • 2011 - Zabolotnij Ja.V. , Application of separation transformation in one problem on non-overlapping domains , Dopov. Nac. akad. nauk Ukr. 2011, No.9. pp. 13–17. (in Ukrainian)
  • 2011 - Zabolotnij Ja.V., Application of a dividing transformation in the problems of nonoverlapping domains , Dopov. Nac. akad. nauk Ukr. 2011, No.4. pp. 20–23. (in Ukrainian)
  • 2017 - Ya. V. Zabolotnii, Estimates of maximum of product of inner radii of non-overlapping domains. Zb. Pr. Inst. Mat. NAN Ukr. 14(1), 2017, P. 156-162. (Ukrainian), Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine, 2017.
  • 2013 - Ya. V. Zabolotnii , The problem about maximum of product of inner radii of non-overlapping domains. Zb. Pr. Inst. Mat. NAN Ukr. 10, №4-5, 2013, P. 557 - 564. (Ukrainian), Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine, 2013.
  • 2011 - Ya. V. Zabolotnii , Some extremal problems in geometric functions theory. Zb. Pr. Inst. Mat. NAN Ukr. 8, №1, 2011, P. 88 - 96. (Ukrainian), Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine, 2011. Т.8, №1. - C. 88 - 96.
  • 2010 - O. K. Bakhtin, Ya. V. Zabolotnii , Using the separating transformation in problems about non-overlapping domains. Zb. Pr. Inst. Mat. NAN Ukr. 7, №2, 2010, P. 327 - 331. (Ukrainian), Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine, 2010.
  • 2010 - O. K. Bakhtin, G. P. Bakhtina, Ya. V. Zabolotnii , Some estimates of inner radii of policilindric non-overlapping domains. Zb. Pr. Inst. Mat. NAN Ukr. 7, №2, 2010, P. 322 - 326. (Ukrainian), Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine, 2010.
  • 2024 - Yaroslav Zabolotnyi. Application of upper estimates for products of inner radii to distortion theorems, (Hyper)Complex Seminar 2024 in memoriam of prof. Julian Ławrynowicz. Poland, September 14-18, 2024
  • 2024 - Denega I., Zabolotnyi Ya. Extremal Problem on Three NonOverlapping Domains Containing Ellipse Points, 1st Ukrainian scientific and practical conference with international participation «Modern Problems of Mathematics: Applied aspects»,May 30, 2024, Zhytomyr, Ukraine.
  • 2024 - Iryna Denega and Yaroslav Zabolotnyi. Extremal problem on domains containing ellipse points, THE CONFERENCE OF YOUNG SCIENTISTS «PIDSTRYHACH READINGS – 2024». Lviv, May 27-29 http://www.iapmm.lviv.ua/chyt2024/abstracts/Denega.pdf
  • 2023 - Zabolotnyi Ya.V. Some estimates of the products of some powers of the inner radii of multiconnected domains 14 ISAAC Congress 2023. Ribeirão Preto − São Paulo (Brazil) 17 – 21 July 2023.
  • 2023 - Zabolotnyi Ya.V. Estimates of some functionals on classes of functions without common values, International Conference of Young Mathematicians. Kyiv (Ukraine) 1 – 3 June 2023. https://www.imath.kiev.ua/~young/youngconf2023/Abstracts_2023/ TFFA/Zabolotnyi.pdf
  • 2023 - Zabolotnyi Ya.V. Estimates of some functionals on classes of functions without common values, International Scientific Conference "CURRENT PROBLEMS OF MECHANICS AND MATHEMATICS - 2023". Lviv, May 27-29.
  • 2022 - Zabolotnyi Ya.V. Estimation of the Products of Some Powers of Inner Radii for Multiconnected Domains, THE CONFERENCE OF YOUNG SCIENTISTS «PIDSTRYHACH READINGS – 2024». Lviv, May 25-27. http://iapmm.lviv.ua/chyt2022/abstracts/Zabolotnyi.pdf
  • 2021 - Yaroslav Zabolotnyi. Estimates of products of some powers of inner radii for multiconnected domains, (Hyper)Complex Seminar 2021 in memoriam of prof. Julian Ławrynowicz. Będlewo, Poland, November 11-14, 2021
  • 2021 - A.K. Bakhtin, Ya.V. Zabolotnii. Estimates of the products of the inner radii of multiconnected domains, The International Conference in Complex and Functional Analysis dedicated to the memory of Bohdan Vynnytskyi. Drohobych 13 — 16 September, 2021.
  • 2021 - A.K. Bakhtin, Ya.V. Zabolotnii. Estimates of the products of the inner radii of multiconnected domains, International conference Complex Analysis and Related Topics dedicated to the 90-th anniversary of A. A. Goldberg (1930-2008). Lviv, June 28 — July 1, 2021.
  • 2017 - Denega I., Zabolotnij Ja., On the problem of extremal decomposition of the complex plane Сучасні проблеми теорії ймовірностей та математичного аналізу: Всеукраїнська наукова конференція, Ворохта, 22-25 лютого 2017 р.
  • Ukrainian - native language
  • Russian - free
  • English - basic