Vladimir Ya. Gutlyanskii

 Position: Directorate Advisor, Chief Researcher

Degree: Doctor of Science, Corresponding Member of the NAS of Ukraine, Professor

E-mail: Gutlyanskii@nas.gov.ua

Research Fields: Geometric Theory of Conformal and Quasi-conformal Mappings and the Theory of Partial Differential Equations

Personal profiles:

 

1964 MSc degree in Mathematics, Tomsk State University
1967 PhD in Mathematics (Mathematical Analysis), Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine, Donetsk Ukraine
1972 DSc in Mathematics (Mathematical Analysis), Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine

2017-present Directorate Advisor, Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine, Sloviansk, Ukraine
2015-2016 Acting Director, Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine, Sloviansk, Ukraine
2004-2014 Principal Researcher, Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine, Donetsk, Ukraine
1984-2004 Head of Department, Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine, Donetsk, Ukraine
1983-1986 Junior Researcher, Senior Researcher, Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine, Donetsk, Ukraine
1967-1995 Senior Lecturer, Associate Professor, Professor, Donetsk National University (part-time), Ukraine

Monographs and Books

Gutlyanskii, V., Bojarski, B., Martio, O., & Ryazanov V. (2013). Infinitesimal geometry of quasiconformal and bi-Lipschitz mappings in the plane, EMS Tracts in Mathematics, 19. European Mathematical Society (EMS), Zürich.

Gutlyanskii, V., & Ryazanov, V. (2013). Infinitesimal Geometry of Spatial Mappings, Kiev: Akademperiodyka.

Gutlyanskii ,V., Ryazanov, V., Srebro, U., & Yakubov, E. (2012). The Beltrami equation. A geometric approach. Developments in Mathematics, 26. Springer, New York.

Articles

Gutlyanskii, V., Martio, O., & Ryazanov, V. (2023). A-harmonic equation and cavitation [A-harmoninen yhtälö ja kavitaatio]. Annales Fennici Mathematici, 48 (1), 277-297. DOI: 10.54330/afm.127639

Gutlyanskii, V., Ryazanov, V., Sevost’yanov, E., & Yakubov, E. (2022). BMO and Asymptotic Homogeneity. Axioms, 11 (4), art. no. 171. DOI: 10.3390/axioms11040171

Gutlyanski, V., Nesmelova, O., & Ryazanov, V. (2020). Semi-linear equations and quasiconformal mappings. Complex Variables and Elliptic Equations, 65 (5), 823-843. DOI: 10.1080/17476933.2019.1631288

Gutlyanskii, V., Ryazanov, V., Yakubov, E., & Yefimushkin, A. (2020). On Hilbert boundary value problem for beltrami equation. Annales Academiae Scientiarum Fennicae Mathematica, 45 (2), 957-973. DOI: 10.5186/aasfm.2020.4552

Gutlyanskii, V., Nesmelova, O., & Ryazanov, V. (2020). On a quasilinear Poisson equation in the plane. Analysis and Mathematical Physics, 10 (1), art. no. 6. DOI: 10.1007/s13324-019-00345-3

Gutlyanskii, V., & Ryazanov, V. (2018). Quasiconformal Mappings in the Theory of Semi-linear Equations. Lobachevskii Journal of Mathematics, 39 (9), 1343-1352. DOI: 10.1134/S1995080218090251

Gutlyanskii, V.Y., & Ryazanov, V.I. (2017). On recent advances in boundary-value problems in the plane. Journal of Mathematical Sciences (United States), 221 (5), 638-670. DOI: 10.1007/s10958-017-3257-z

Bojarski, B., Gutlyanskii, V., & Ryazanov, V. (2014). On existence and representation of solutions for general degenerate Beltrami equations. Complex Variables and Elliptic Equations, 59 (1), 67-75. DOI: 10.1080/17476933.2013.795955

Bojarski, B., Gutlyanskii, V., & Ryazanov, V. (2013). Dirichlet problem for the general Beltrami equation in Jordan domains. Journal of Mathematical Sciences (United States), 190 (4), 525-538. DOI: 10.1007/s10958-013-1269-x

Gutlyanskii, V., Sakan, K.-I., & Sugawa, T. (2013). On μ-conformal homeomorphisms and boundary correspondence. Complex Variables and Elliptic Equations, 58 (7), 947-962. DOI: 10.1080/17476933.2011.613116

2022-2023 NAS of Ukraine, no. 0122U000594
Modern methods of the theory of boundary value problems and their application to problems of mathematical physics and mechanics
Role: Co-Investigator
2019-2021 Grant of the Ministry of Education and Science of Ukraine
Singular solutions of equations of mathematical physics in anisotropic and inhomogeneous media, modeling of diffusion and absorption processes
Role: Co-Investigator
2005 Grant from the University of Hiroshima, Hiroshima, Tokyo, Osaka, Japan
Role: Visiting professor
2004 Grant from Israel Academy of Sciences in Technion, Haifa, Israel
Role: Visiting professor
1995-2005 Grants from Finnish Academy of Sciences at the University of Helsinki, Helsinki, Finland
Role: Visiting professor
1994 Soros Foundation Grant, Malaysia
Role: Co-Investigator
1992 Grant from the Polish Academy of Sciences of the Institute of Mathematics, Warsaw, Poland
Role: Co-Investigator
1992 Grant from Deutsche Forschungsgemeinschaft, Würsburg, Hesse, Berlin, Germany
Role: Co-Investigator

2022 Prize of the National Academy of Sciences of Ukraine named after M.O. Lavrentiev
2021 Award of the National Academy of Sciences of Ukraine “For scientific achievements”
2020 State Prize of Ukraine in Science and Technology
2016 Prize of the National Academy of Sciences of Ukraine named after M.G. Krein
2013 Diploma of the Verkhovna Rada of Ukraine (Resolution 2058 of November 28, 2013)
2005 Prize of the National Academy of Sciences of Ukraine named after M.M. Krylov
1987 Diploma of the Presidium of the Verkhovna Rada of the Ukrainian SSR