Geometric theory of functions, Complex analysis, The theory of quasi-conformal mappings, mappings of finite distortion, the theory of the Beltrami equation, p-modulus of curve families, capacity of a condenser, isoperimetric inequality.
2021 - Doctor of Physical and Mathematical Sciences, Institute
of Mathematics of National Academy of Sciences of Ukraine, Kyiv, Ukraine.
2014 - Academic title of Senior Researcher, Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine, Donetsk, Ukraine.
2008 - PhD in Physics and Mathematics, Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine, Donetsk, Ukraine.
2004 - 2007 - Postgraduate Studies, Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine, Donetsk, Ukraine.
2002 - 2003 - Master's degree in Mathematics, Donetsk National University, Donetsk, Ukraine.
1998 - 2002 - Bachelor's degree in Mathematics, Donetsk National University, Donetsk, Ukraine.
He is the author of more than 150 scientific publications, including 1 monograph and 90 articles in leading professional ukrainian and foreign mathematical journals.
2024 - Petrov E., Salimov R., Bisht R.K.On generalizations
of some fixed point theorems in semimetric spaces with triangle functions. Front. Appl. Math. Stat., 10, 2024, 1-9.
2024 - Salimov R., Stefanchuk M.Finite Lipschitzness of regular solutions to nonlinear Beltrami equation.
Complex Variables and Elliptic Equations, v. 69, no. 6, 2024, 913–923.
2024 - Petkov I., Salimov R., Stefanchuk M.Nonlinear Beltrami equation: lower estimates of Schwarz Lemma’s type.
Canadian Mathematical Bulletin, v. 67, no. 3, 2024, 533–543.
2024 - Petkov I., Salimov R., Stefanchuk M. Asymptotic behavior of solutions of the nonlinear Beltrami equation with the Jacobian.
J. Math. Sci., 2024.
2024 - Salimov R., Sevost’yanov E., Ukhlov A. Capacity inequalities and lipschitz continuity of mappings.
Transactions of A. Razmadze Mathematical Institute, v. 178, no. 1, 2024, 129–135.
2024 - Salimov R., Ukhlov A. Refined geometric characterizations of weak p-quasiconformal mappings. J. Anal., 2024.
2023 - Gutlyanskii V., Ryazanov V., Salimov R., Sevost’yanov E. On divergence-type linear
and quasi-linear equations in the complex plane. Ukrainian Mathematical Bulletin, v. 20, no. 4, 2023, 505–543.
(In English: Gutlyanskii V., Ryazanov V., Salimov R., Sevost’yanov E.On divergence-type linear and quasi-linear equations in
the complex plane. Journal of Mathematical Sciences, v. 279, no. 1, 2024, 37–66.)
2023 - Salimov R., Vyhivska L., Klishchuk B. On Distortions of the Transfinite Diameter of Disk Image.
Ukr. Mat. Zh., v. 75, no. 2, 2023, 207-214 (in Ukrainian).
(In English: Salimov R., Vyhivska L., Klishchuk B. On Distortions of the Transfinite Diameter of Disk Image. Ukr. Math. J., v. 75, 2023, 235–243.)
2023 - Ryazanov V., Salimov R., Sevost’yanov E. On Hölder Continuity of Solutions to the Beltrami Equations.
Ukr. Mat. Zh., v. 75, no. 4, 2023, 511-522 (in Ukrainian).
(In English: Ryazanov V., Salimov R., Sevost’yanov E. On Hölder Continuity of Solutions to the Beltrami Equations.
Ukr. Math. J., v. 75, no. 4, 2023, 1099–1112.)
2023 - Petrov E.A., Salimov R.R. A note on generalized four-point inequality. Ukrainian Mathematical Bulletin, v. 20, no. 1, 2023, 107-123.
(In English: Petrov E.A., Salimov R.R. A note on generalized four-point inequality. J. Math. Sci., v. 273, no. 3, 2023, 414–426.)
2023 - Salimov R.R., Sevost'yanov E.O., Targonskii V.A. On modulus inequality of the order p for the inner dilatation.
Matematychni Studii, v. 59, no. 2, 2023, 141–155.
2023 - Petkov I.V., Salimov R.R., Stefanchuk M.V. On the distortion of the disk image diameter.
Ukrainian Mathematical Bulletin, v. 20, no. 2, 2023, 219–240 (in Ukrainian).
(In English: Petkov I.V., Salimov R.R., Stefanchuk M.V. On the distortion of the disk image diameter.
J. Math. Sci., 274, no. 3, 2023, 352–369.)
2023 - Salimov R., Klishchuk B., Stefanchuk M. On the asymptotic behavior at infinity of one mapping class.
Proceedings of the International Geometry Center, v. 16, no. 1, 2023, 50–58.
2022 - Gutlyanskii V., Ryazanov V., Salimov R., Sevost’yanov E. On isolated singularities of mappings with finite length distortion.
Ukrainian Mathematical Bulletin, v. 20, no. 3, 2023, 400–421.
(In English: Gutlyanskii V., Ryazanov V., Salimov R., Sevost’yanov E. On isolated singularities of mappings with finite length distortion.
Journal of Mathematical Sciences, v. 276, no. 5, 2023, 652–669.)
2022 - Petrov E., Salimov R. On quasisymmetric mappings in semimetric spaces. Ann. Fenn. Math., v. 47, no. 2, 2022, 723-745.
2022 - Salimov R.R., Klishchuk B.A. On the Behavior of One Class of Homeomorphisms at Infinity.
Ukr. Mat. Zh., v. 74, no. 10, 2022, 1416-1426 (in Ukrainian).
(In English: Salimov R.R., Klishchuk B.A. On the Behavior of One Class of Homeomorphisms at Infinity. Ukr. Math. J., v. 74, 2023, 1617-1628.)
2022 - Mateljević M., Salimov R., Sevost’yanov E. Hölder and Lipschitz Continuity in Orlicz-Sobolev Classes,
Distortion and Harmonic Mappings. Filomat, v. 36, no. 16, 2022, 5359–5390.
2022 - Afanas’eva E., Golberg A., Salimov R. Distortion theorems for homeomorphic Sobolev mappings
of integrable p-dilatations. Stud. Univ. Babes-Bolyai Math., v. 67, no. 2, 2022, 403-420.
2022 - Salimov R., Stefanchuk M. Global finite mean oscillation and the Beltrami equation.
(Hyper)complex seminar 2021 in memoriam of Prof. Julian Lawrynowicz. A monograph, 2022.
2022 - Salimov R.R., Stefanchuk M.V. Functional asymptotics of solutions of nonlinear Cauchy-Riemann-Beltrami system.
Nonlinear oscillations, v. 25, no. 4, 2022, 388–403 (in Ukrainian).
(In English: Salimov R.R., Stefanchuk M.V. Functional Asymptotics of Solutions of the Nonlinear Cauchy-Riemann-Beltrami System.
J. Math. Sci., v. 277, no. 2, 2023, 311–328.)
2022 - Salimov R.R., Stefanchuk M.V. Nonlinear Beltrami equation and asymptotics of its solution.
Ukrainian Mathematical Bulletin, v. 19, no. 2, 2022, 3237–253.
(In English: Salimov R.R., Stefanchuk M.V. Nonlinear Beltrami equation and asymptotics of its solution.
J. Math. Sci., v. 264, no. 4, 2022, 441–454.)
2021 - Salimov R.R, Stefanchuk M.V. Logarithmic asymptotics of the nonlinear Cauchy-Riemann-Beltrami equation.
Ukr. Mat. Zh., v. 73, no. 3, 2021, 395-407 (in Ukrainian).
(In English: Salimov R.R., Stefanchuk M.V. Logarithmic Asymptotics of the Nonlinear Cauchy-Riemann-Beltrami Equation.
Ukr. Math. J., v. 73, 2021, 463–478.)
2021 - Petrov E.A., Salimov R.R. Quasisymmetric mappings in b-metric spaces.
Ukrainian Mathematical Bulletin, v. 18, no. 1, 2021, 60–70.
(Переклад: Petrov E.A., Salimov R.R. Quasisymmetric mappings in b-metric spaces. J. Math. Sci., v. 256, no. 6, 2021, 770–778.)
2021 - Petrov E., Salimov R. On quasisymmetric mappings between ultrametric spaces.p-Adic Numbers Ultrametric Anal. Appl., v. 13, no. 3, 2021, 231–238.
2020 - Golberg A., Salimov R. Nonlinear Beltrami equation. Complex Var. Elliptic Equ., v. 65, no. 1, 2020, 6–21.
2020 - Afanas’eva E., Ryazanov V., Salimov R., Sevost’yanov E. On Boundary Extension of Sobolev Classes
with Critical Exponent by Prime Ends. Lobachevskii J. Math., v. 41, 2020, 2091–2102.
2020 - Salimov R.R, Stefanchuk M.V. On one extremal problem for nonlinear Cauchy–Riemann–Beltrami systems.
Proceedings of IAMM of NASU, v. 34, 2020, 109-115 (in Ukrainian).
2020 - Salimov R.R, Stefanchuk M.V. On the local properties of solutions of the nonlinear Beltrami equation.
Ukrainian Mathematical Bulletin, v. 17, no. 1, 2020, 77-94 (in Ukrainian).
(In English: Salimov R.R., Stefanchuk M.V. On the local properties of solutions of the nonlinear Beltrami equation.
J. Math. Sci., v. 248, 2020, 203-216.)
2019 - Golberg A., Salimov R., Stefanchuk M. Asymptotic Dilation of Regular Homeomorphisms.
Complex Analysis and Operator Theory, v. 13, no. 6, 2019, 2813-2827 (first published online August 23, 2018).
2019 - Klishchuk B.A., Salimov R.R, Stefanchuk M.V. Asymptotics of solutions of nonlinear Beltrami equations. Reports of the National Academy of Sciences of Ukraine, no. 2, 2019, 17-22 (in Russian).
2025 - Petkov I., Salimov R., Stefanchuk M.On Local Hölder and Lipschitz Continuities of Solutions to Nonlinear Beltrami Equation.
New Tools in Mathematical Analysis and Applications. ISAAC 2023. Trends in Mathematics, 2025, 109–119.
2023 - Klishchuk B., Salimov R., Stefanchuk M. Schwarz Lemma Type Estimates for Solutions to Nonlinear Beltrami Equation.
Analysis, Applications, and Computations. Trends in Mathematics, 2023, 295–305.
2022 - Klishchuk B., Salimov R. On the behavior at infinity of one class of homeomorphisms.
Current Trends in Analysis, its Applications and Computation. Trends in Mathematics, 2022, 173–180.
2022 - Salimov R.R., Stefanchuk M.V. On some properties of solutions of a nonlinear system of the Cauchy-Riemann-Beltrami type.
Transactions of Institute of Mathematics, v. 19, no. 1, 2022, 210–220 (in Ukrainian).
2022 - Klishchuk B.A., Salimov R.R. On ring Q-homeomorphisms with respect to the p-modulus.
Transactions of Institute of Mathematics, v. 19, no.1, 2022, 197-209 (in Ukrainian).
2024 - On the finite Lipschitzness of solutions to the nonlinear Cauchy-Riemann-Beltrami type equation,
Hypercomplex Seminar 2024, September 14-18, 2024, Poland.
2024 - On the asymptotic behavior of the diameter of the image of the ball, Hypercomplex Seminar 2024, September 14-18, 2024, Poland.
2024 - On the asymptotic behavior of solutions to nonlinear Beltrami equation,
International scientific online conference "Algebraic and geometric methods of analysis", May 27-30, 2024, Ukraine.
2024 - Asymptotic behavior at infinity of solutions of the nonlinear Beltrami equation,
Practical Conference with International Participation "Modern Problems of Mathematics: Applied Aspect", May 30, 2024, Ukraine.
2024 - Local Hölder continuity of solutions of the nonlinear Beltrami equation,
Conference of Young Scientists "Pidstryhach Readings - 2024", May 27-29, 2024, Ukraine.
2023 - On the logarithmic asymptotic of solutions of the nonlinear Cauchy-Riemann-Beltrami type equation, 14th ISAAC Congress 2023, the Local Organizing Committee and the Department of Computer Science and Mathematics
at the University of São Paulo, Campus Ribeirão Preto (Brazil), July 17–21, 2023.
2023 - On the exponential asymptotic of solutions of the nonlinear Cauchy-Riemann-Beltrami type equation,
Hypercomplex Seminar 2023, Poland, online, July 9–14, 2023.
2023 - On the Global Finite Mean Oscillation and the Beltrami Equation,
International Scientific Conference "Current Problems of Mechanics and Mathematics – 2023", Lviv, Ukraine, May 23 – 25, 2023.
2023 - On the lower estimate of the disk image diameter,
International scientific conference "Algebraic and geometric methods of analysis", Ukraine, online, May 29–June 1, 2023.
2023 - On the asymptotic properties of solutions of the nonlinear Beltrami equation,
XIX International Scientific Mykhailo Kravchuk Conference, dedicated to the 125th anniversary of Igor Sikorsky Kyiv Polytechnic Institute,
Ukraine, online, October 11–12, 2023.
2023 - On the functional asymptotics of solutions to a nonlinear equation of the Cauchy-Riemann-Beltrami type,
International conference of young mathematicians, Institute of Mathematics of National Academy of Sciences of Ukraine, Kyiv, Ukraine, online, June 1–3, 2023.
2023 - On the finite Lipshitziness of solutions to the Beltrami nonlinear equation,
International scientific conference "Mathematics and Information Technologies", Yuriy Fedkovych Chernivtsi National University, Chernivtsi, Ukraine, September 28–30, 2023.
2022 - On the global finite mean oscilation and the Beltrami equation,
International scientific conference "Applied Mathematics and Information Technologies",
Yuriy Fedkovych Chernivtsi National University, Chernivtsi, Ukraine, September 22–24, 2022.
2021 - Local Properties of Solutions of Nonlinear Beltrami Equation,
(Hyper)Complex Seminar 2021 in memoriam of prof. Julian Ławrynowicz, 11-14 November, 2021, Poland.
2021 - On the local behavior of the nonlinear Cauchy-Riemann-Beltrami system,
International Conference of Young Mathematicians,
June 3 – 5, 2021, Kyiv, Ukraine.
2021 - Local behavior of regular solutions of the nonlinear Beltrami equation,
Conference of young scientists "Prystrygachiv readings - 2021",
May 26 – 28, 2021, Lviv.
2020 - On the local properties of solutions of nonlinear Beltrami equations,
All-Ukrainian scientific conference "Modern problems in Probability Theory and Mathematical Analysis - 2020",
February 26 – March 1, 2020, Vorohta.
2019 - Logarithmic asymptotics for solutions of nonlinear Beltrami equations,
International Conference of Young Mathematicians,
June 6 - 8, 2019, Kyiv, Ukraine.
2019 - Asymptotic behavior of solutions of nonlinear Beltrami equations,
All-Ukrainian scientific conference "Modern problems in Probability Theory and Mathematical Analysis - 2019",
February 25 - March 1, 2019, Vorohta.
2018 - Logarithmic asymptotics for solutions of nonlinear Beltrami equations,
International scientific conference "Modern problems of mathematics and its application in natural sciences
and information technologies", dedicated to the 50th anniversary of the Faculty of Mathematics and Informatics,
September 17 - 19, 2018, Chernivtsi, Ukraine.
2018 - An analog of the Schwarz lemma for regular homeomorphisms,
The 13th Summer School Analysis, Topology and Applications,
July 19 - August 11, 2018, Vyzhnytsya, Chernivtsi Region, Ukraine.
2018 - Asymptotic behavior of solutions to a nonlinear Beltrami eqution,
International scientific Conference "Algebraic and geometric methods of analysis",
May 30 - June 4, 2018, Odesa, Ukraine.
2018 - Lipschitz analogue of the Ikoma-Schwartz lemma,
All-Ukrainian scientific conference "Modern problems in Probability Theory and Mathematical Analysis",
February 27 - March 2, 2018, Vorohta.
2024 - Certificate of Honor of the Presidium of the National Academy of Sciences of Ukraine and the Central Committee of the Trade Union of Workers of the National Academy of Sciences of Ukraine.
February 2024 - January 2025 - Simons Foundation (1290607).
November 2022 - October 2023 - Simons Foundation (1030291).
2022 - Grant of the Program Universities for Ukraine (U4U).
2018 - Grant of the President of Ukraine to support scientific research of young scientists.
2015 - Prize of the President of Ukraine for Young Scientists.
2014 – 2015 - Scholarship of the President of Ukraine for young scientists.
2010 - 2014 - Scholarship of the National Academy of Sciences of Ukraine for young scientists.
2010 - Prize of the Verkhovna Rada of Ukraine to the most talented young scientists in the field of fundamental and
Applied Research and Scientific and Technical Development.
