Research interests

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In the main, the scientific work of  E.A. Sevost’anov is devoted to the following questions: 1) removable singularities and boundary behavior of space mappings; 2) the existing of the solutions of differential equations of the Beltrami type in the plane; 3) the description of the branch sets for various classes of space mappings; 4) the convergence, normality and compactness problems for various classes of space mappings.

In particular, we mean above the so-called Q–homeomorphisms introduced in 1993 by Vladimir Gutlyanski together with Olli Martio, and the so-called mappings with finite length distortion introduced by Vladimir Ryazanov together with Olli Martio, Uri Srebro and Eduard Yakubov in their work in 2002.  

As far as known, some particular cases of the Q–mappings appear in the work of the Yu.F. Strugov firstly. In the connection with it, we emphasize the significance of the  investigations helding by V.M. Miklyukov, studying the moduli and capacities on the surfaces, S.K. Vodop’yanov, P.M. Tamrazov, A. Cazacu C. studying the moduli with weights and V.A. Zorich studying the global homeomorphism problem. The above mathematicians, as we mean, can be consider the founders of the theory of mappings which are more general then quasiconformal.    

The classes which are studied by E.A. Sevost’yanov are closely connected with the mappings of finite distortion which are intensively investigated in the last decade.

E.A. Sevost’yanov defended a thesis “On the convergence theory of space mappings with finite length distortion” in the February 2006. Supervisor of the above thesis was Vladimir Ryazanov who is the known specialist in the function theory. There were the positive reviews on the above thesis from the well–known specialists in the field Vladimir Milyukov (Volgograd, Russia) and Vladimir Dubinin (Vladivostok, Russia).

 

Scientific Visits

 

2004 – International School – Conference in Analysis and Geometry dedicated to the 75–years of Academician of Yu.G. Reshetnyak, Novosibirsk, Russia.

2006 – International School–Conference in Analysis and Geometry dedicated to the memory of N.V. Efimov, Novorossiysk, Russia.

2007 – International Conference in Geometric Analysis and Nonlinear PDE, Bendlewo, Poland.

2007 – Scientific visit to Warszawa connected with the work under the supervision of Prof. B. Bojarski

2007– International Conference Bogolyubov Readings 2007 dedicated to Yu. A. Mitropolskii on the occasion of his 90-th birthday, Zhitomir–Kiev, Ukraine

2008 – Scientific visit to Warszawa connected with the work under the supervision of Prof. B. Bojarski

2008 – International Conference “Analysis and Topology”, Lviv, May, 26 – June 7 2008

2009 – Scientific visit to Warszawa connected with the work under the supervision of Prof. B. Bojarski

2009 – Intern. Conf. “Analytic methods of mechanics and complex analysis” dedicated to N.A. Kilchevskii and V.A. Zmorovich on the occasion of their birthday centenary, Kiev, June 29 – July 5

2009 – Intern. Conf. "Analysis on Metric Spaces and Quasiconformal Structures", 14–19 September, Warszawa, Poland

2009 – Intern. Conf. “Conformal Structures and Dynamics (CODY) Third Year Conference”, Bendlewo, Poland, September 21–26

Grants and awards

In 2010, in accordance with the decision of Verkhovna Rada of Ukraine “About the Bonus of Verkhovna Rada of Ukraine to the most talented young scientists in the sphere of fundamental and applicable investigations and Scientific and technical working outs” (775-16 ), E.A. Sevostyanov together with R.R. Salimov  and Yu.S. Kolomoitsev was awarded by the Bonus of of Verkhovna Rada of Ukraine for the 2009 year (Kiev, February 2, 2010, N 1847-VI).

 

Career

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Education
 
1997–2002  
Donetsk National University, Dept. Math., Donetsk, Ukraine, student
 
XI.2002 – X.2005
Institute of Applied Mathematics and
Mechanics, NAS of Ukraine, post–graduate student
Scientific career, academic degrees
27.06.02 – M.Sc. Mathematics, University of Donetsk, diploma НК no. 19616837
 
22.02.06 –candidate of phys.– math. sci., speciality 01.01.01 mathematical analysis (resolution of Presidium of Higher Examination Board of Ukraine from June 8, 2006,
minutes no. 7–07/6, diploma ДK № 034852)\\
 
XI.2005 – V.2008
Donetsk, Ukraine, junior researcher
 
VI.2008 –III.2010
Donetsk, Ukraine, researcher

IV.2010 - prime time
Donetsk, Ukraine, senior researcher

Publications

1. E. Sevost'yanov. Compactness theory and mappings with finite length distortion // Sib. Adv. in Math. – V. 19, no. 3. – 2009. – P. 179 – 191.
    
    
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2. E.A. Sevost'yanov. The Väisälä inequality for mappings with finite length distortion // Complex Variables and Elliptic Equations. – V. 55, no. 1–3. – 2010. – P. 91 – 101.
    
    
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3. R.R. Salimov and E.A. Sevost'yanov. ACL and differentiability of the open discrete ring mappings // Complex Variables and Elliptic Equations. – V. 55, no. 1–3. – 2010. – P. 49 – 59.
    
    
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4. V. Ryazanov and E. Sevost'yanov. Toward the theory of ring Q–homeomorphisms // Israel J. Math. – V. 168. – 2008. – P. 101– 118.
    
    
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5. Ryazanov V.I. and Sevost’yanov E.A. On normal families of homeomorphisms // Proceedings of Inst. of Appl. Math. Mech. of NAS of Ukraine. – 2004. – Vol. 9. – P. 161–176.
    
    
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6. Ryazanov V. and Sevost'yanov E. On normal families of space mappings // Reports of NAS of Ukraine. – 2004. – No. 3. – P. 19–24 (in Russian).
    
7. Ryazanov V.I. and Sevost'yanov E.A. Uniformly equicontinuous classes of rings Q–homeomorphisms (in Russian) // Siberian Math. Journ. – 2007. – Vol. 48. – No. 6. – P. 1361–1376.
    
    
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8. Sevost'yanov E.A. To the convergence theory of space mappings of Sobolev class // Reports of NAS of Ukraine. – 2005. – No. 10. – P. 40–41 (in Russian).
    
9. E.A. Sevost'yanov. To the theory of removability of singularities of mappings with non-bounded characteristic of quasiconformality // Izv. AN Rossii, ser. Math. – V. 74, no. 1. – 2010. – P. 159 – 174.
    
    
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10. Sevost'yanov E.A. Analogues of the Sokhotsky’s and Picard’s theorems for mappings with finite length distortion // Proceedings of Inst. of Appl. Math. Mech. of NAS of Ukraine. – 2007. – Vol. 15. – P. 190–198 (in Russian).
     
11. Sevost'yanov E.A. On the convergence theory of space mappings with finite length distortion, Abstract of thesis on competition of Academic Degree of Candidate of Phys.–Math. Sciences, Donetsk, 2005, 18 pp. (in Russian).
     
     
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12. Ryazanov V.I. and Sevost'yanov E.A. Normal families of space mappings // Siberian Electronic Mathematical Reports. www.semr.math.nsc.ru. – 2006. – Vol. 3. – P. 216–231.
     
     
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13. Sevost'yanov E.A. About closeness and compactness of families of space mappings // Proceedings of Inst. of Appl. Math. Mech. of NAS of Ukraine. – 2005. – Vol. 11. – P. 113–118 (in Russian).
     
     
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14. Sevost'yanov E.A. About normality of families of the space mappings with branching // Proc. Inst. Math. of NASU, Kiev. – 2006. – Vol. 3. – P. 454–464 (in Russian).
     
15. Sevost'yanov E.A. About normal families of space mappings with branching // Ukr.Math. J. – 2008. – V.10. – P. 1389–1400.
     
     
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16. Sevost'yanov E.A. On semicontinuity of dilatations of homeomorphisms with finite length distortion // Proceedings of Inst. of Appl. Math. Mech. of NAS of Ukraine. – 2006. – Vol. 13. – P. 174–184 (in Russian).
     
     
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17. Sevost'yanov E.A. About connectedness of mappings with finite distortion with distortion of lengths in // Bull. of the Dnepropetrovsk Nat. Univ., Ser. Math. – 2009. – Vol. 17, iss. 14, no. 6/1. – P. 112–119. (in Russian).
     
18. Sevost'yanov E.A. On convergence of space homeomorphisms of the Sobolev class // Proceedings of Inst. of Appl. Math. Mech. of NAS of Ukraine. – 2004. – Vol. 9. – P. 177–182 (in Russian).
     
     
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19. Sevost'yanov E.A. On convergence theorems of mappings with finite length distortion // Proceedings of Inst. of Appl. Math. Mech. of NAS of Ukraine.–2005. – Vol. 10. – P. 173–183 (in Russian).
     
     
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20. E.A. Sevost'yanov. About integral characterization of some generalizations of quasiregular mappings and mean of integral divergence in the geometrical function theory // Ukr. Math. J. – 2009. – Vol. 61, no. 10. – P. 1367–1380. (in Russian).
     
21. Sevost'yanov E.A. About one modulus inequality for mappings with finite length distortion // Ukr. Math. J. – 2009. – Vol. 61, no.5. – P. 680–688 (in Russian).
     
     
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22. Sevost'yanov E.A. On removability of singularities of open discrete mappings // Bull. of the Dnepropetrovsk Nat. Univ. – 2007. – 12. – P. 124–133.
     
23. Sevost'yanov E.A. Generalization of one lemma of E.A. Poletskii on the classes o space mappings // Ukr. Math. J. – 2009. – Vol. 61, no.7. – P. 969–975 (in Russian).
     
24. Sevost'yanov E.A. Estimates of distortion and normal families of the ring mappings // Proceedings of Inst. of Appl. Math. Mech. of NAS of Ukraine. – 2007. – Vol. 14. – P. 150–161 (in Russian).
     
25. Sevost'yanov E.A. Essential singularities and branches of the discrete open ring mappings. – 2008. – Vol. 17. – P. 166–174 (in Russian).
     
     
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26. Sevost'yanov E.A. Theorems of Liouville, Picard and Sohotskii for ring mappings // Ukr. Math. Bull. – 2008. – Vol. 5, no. 3. – P. 366–381.
     
     
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27. Sevost'yanov E.A. Theory of moduli, capacities and normal families of mappings admitting a branching // Ukr. Math. Bull. – 2007. – Vol. 4, no. 4. – P. 583–604.
     
     
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28. Sevost'yanov E.A. Convergence theory and quasilinear Beltrami equation // Proceedings of Inst. of Appl. Math. Mech. of NAS of Ukraine.– 2006. – Vol. 12. – P. 128–139 (in Russian).
     
     
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29. Sevost'yanov E.A. Removability of singularities and analogues of Sokhotski–Weierstrass theorem for Q – mappings // Ukr. Math. J. – 2009. – Vol. 61, no.1. – P. 116—126. (in Russian).
     
     
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30. Salimov R.R. and Sevost'yanov E.A. Estimate of dilatations for open discrete Q–mappings // Proceedings of Inst. of Appl. Math. Mech. of NAS of Ukraine. – 2009. – Vol. 18. – P. 148–154 (in Russian).
     
31. Salimov R.R. and Sevost'yanov E.A. ACL and differentiability a.e. of ring mappings // Proceedings of Inst. of Appl. Math. Mech. of NAS of Ukraine. – 2008. – Vol. 16. – P. 171–178 (in Russian).
     
     
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