Fərman Məmmədov (riyaziyyatçı)

Fərman İmran oğlu Məmmədov () — AMEA Riyaziyyat və Mexanika İnstitutunun Riyazi fizika tənlikləri şöbəsinin baş elmi işçisi, riyaziyyat elmlər doktoru, professor.

 Həyatı 
Fərman İmran oğlu Məmmədov, 25 iyun 1955-ci ildə Azərbaycan SSR Qazax rayonu Qıraq Kəsəmən kəndində anadan olmuşdur.
1972–1977-ci illərdə Azərbaycan Dövlət Neft və Kimya İnstitutunu (indiki ADNSU) "Tətbiqi riyaziyyat" ixtisası üzrə fərqlənmə diplomu ilə bitirmişdir.
1981–1984-cü illərdə AzTU-nun "Ali riyaziyyat" kafedrasında əyani aspirant, 1984-cü ildən 2005-ci ilə kimi asistent və dosent vəzifələrini icra etmişdir.
2007–2010-cu illərdə Türkiyənin Diclə Universitetində professor, 2006–2007 və 2011–2013-cü illərdə AMEA Riyaziyyat və Mexanika İnstitutunda "Riyazi analiz" və "Riyazi fizika tənlikləri" şöbəsinində baş elmi işçi vəzifəsində işləmişdir.
2013-cü ildən SOCAR Neftqazelmitədqiqatlayihə institutunda aparıcı elmi işçi vəzifəsində işləyir.

 Elmi Tədqiqat sahəsi 
Sobolev-Poincare tipli (həmçinin kəsr tipli) çəkili inteqral bərabərsizliklər. Dəyişən üstlü Lebeq fəzalarında Hardi operatorunun məhdudluq və kompaktlıq xassələri hardi-Littlvud maximal operatorlarının onların kəsr tərtibinin çəkili dəyişən üstlü Lebeq fəzalarında məhdudluğu. Xüsusi törəməli elliptik və parabolik tipli tənliklərin keyfiyyət nəzəriyyəsi. Harnak bərabərsizliyi, Həllər ailəsinin Hölder mənasında kəsilməzliyi, aprior qiymətləndirmələr, aradan qaldırıla bilən məxsusiyyət, fraqmen-Lindelef tipli teoremlər, varlıq və yeganəlik məsələləri, Maye axınları üçün Poiseuil tipli düstur, Filtrasiya məsələlərində Düpit düsturu tipli nəticələr. Naviye-Stoks tənliyi.

 Akademik dərəcələr 
 Riyaziyyat Professoru, 2015. AMEA, Riyaziyyat və Mexanika İnstitutunda baş elmi tədqiqatçı, Bakı, Azərbaycan,
 Elmlər doktoru dissertasiyası (fizika-riyaziyyat elmləri doktoru) Bakı, 2005
 Professor Türkiyə Cumhuriyyətində, Dicle Universiteti, Diyarbakir, 2009
 Elmlər namizədi dissertasiyası, Bakı, 1984, Riyaziyyat və Mexanika İnstitutu.


 Elmi əsərləri 
 F. Mamedov, On Harnack inequality and Holder continuity to the degenerate parabolic equations, Journal of Differential Equations, 340, 521–556, (2022) https://doi.org/10.1016/j.jde.2022.09.002
 F. Mamedov and S. Monsurro, Sobolev inequality with non-uniformly degenerating gradient, Electronic Journal of Qualitative Theory of Differential Equations, 2022 (24), 1–19 (2022), https://doi.org/10.14232/ejqtde.2022.1.24
 F. Mamedov and N. Mammadzade, A steady flow of the viscous compressible liquid in vertical pipe, Fluid Mechanics and Terman Sciences, 89 (2) 150–159 (2022), https://doi.org/10.37934/arfmts.89.2.150159
 F. Mamedov and Sh. Shukurova, On strong solvability of the Dirichlet problem for a class of semilinear ellipyic equations with discontinuous coefficients obolev inequality with non-uniformly degenerating gradient, Proceedings of Institute Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 47 (1), 15–23 (2021), https://doi.org/10.30546/2409- 4994.47.1.15
 F. Mamedov N. Mammadzade, and L.-E. Persson, A new fractal order Poincare’s inequality with weights, Mathematical Inequalities and Applications, 23(2), 611–624,  2020. 
 F. Mamedov and Y. Shukurov, A Sawyer type sufficient condition fort the weighted Poincare inequality,  Positivity, 22 (3), 687–699, 2018
 F. Mamedov and Y. Zeren, and L. Akin, Compactification of weighted Hardy operator in variable exponent Lebesgue spaces, Asian Journal of Mathematics and Computer Research, 17 (1), 2395–699, 4213, 2017
 F. Mamedov and S. Mammadli, Compactness for the weighted Hardy operator in variable exponent space, Comptes Rendus Mathematique, 355 (3), 325–335, 2017
 F. Mamedov and Y. Zeren, On boundedness of fractional maximal operator in weighted spaces, Mathematical Inequalities and Applications, 19 (1), 1–14, 2016
 F. Mamedov, M. Transirico, and S. Monsurro, Potential estimates and applications to elliptic equations (with S. Mansurro and M. Transirico),Discret and Continuous Dynamical Systems, Supplement, 793–800, 2015
 F. Mamedov, M. Transirico, and S. Monsurro, An application of potential estimates to a priori bounds for elliptic equations, Abstract and Applied Analysis, Volume 2016, Article ID 6463030, 6 pages, http://dx.doi.org/10.1155/2016/6463030
 F. Mamedov, M. Transirico, and S. Monsurro, Potential estimates and a priory estimates for elliptic equations,Azerbaijan Journal of Mathematics, 7 (1), 92–104, 2017
 F. Mamedov and Y. Zeren, A necessary and sufficient condition for Hardy’s operator in the variable Lebesgue space (with Y. Zeren), Abstract and Applied Analysis, Volume 2014, Article ID 342910, 7 pages, http://dx.doi.org/10.1155/2014/3429102014
 F. Mamedov, F. M. Mammadova, M. Aliev, Boundedness criterions for the Hardy operator in weighted L^{p(.)} spaces, Journal of Convex Analysis, 22, 2015.
 F. Mamedov and F. M. Mammadova, A Hardy type general inequality in with decreasing exponent, Transactions of NAS of Azerbaijan, 33(1), pp. 45–50, (2013)
 F. Mamedov, S. İsmailova, and M. Aliev, On some log regularity conditions and the boundedness of weighted Hardy operator in . Proceedings of Inst Math. Mech. Nat acad Sci of Azerbaijan, 39, pp. 87–92, (2013)
 F. Mamedov and F. M. Mammadova, A necessary and sufficient condition for Hardy’s operator in (0,1), Mathematische Nachrichten, 287 (5–6), 666–676,(2013)
 F. Mamedov, On Hardy inequality in variable exponent Lebesgue spaces  Azerbaijan Journal of Mathematics, 2(1),96–106 (2012).
 F. Mamedov and R. Amanov, On the removable singularity of the solutions of nonlinear elliptic equations, Proceedings of IMM of NAS of Azerbaijan, 37(1), pp. 95–110 (2012)
 D. Cruz Uribe and F. Mamedov, On a general weighted Hardy type inequalityin the variable exponent Lebesgue spaces, Revisto Mathematica Complutence, 25(2), 335–367 (2012).
 F. Mamedov and Y. Zeren, On equivalent conditions for the general weightede Hardy type inequality in the space, Zeitschrift für Analysis und ihre Anwendungen 31(1), 55–74 (2012) doi: 10.4171/zaa/1448.
 F. Mamedov, A. Quliev, and M. Mirheydarli, On Carlson’s type removability test for the degenerate quasilinearelliptic equations, International Journal of Differential Equations, 2011, 23 pages, doi:10.1155/2011/198606 (2011).
 F. Mamedov and T. İbrahimov, A mean value theorem approuchto the removable sets of parabolic equations, Transactions of NAS of Azerbaijan, 31(4), pp. 103–120 (2011)
 F. Mamedov and Y. Zeren, On a two-weighted estimation of maximal operator in the Lebesgue space with variableexponent, Journal of Mathematical Sciences. 173 (6), 701–717 (2011).
 F. Mamedov and A. Harman, On a Hardy type general weighted inequality in spaces, Integral Equations and Operator Theory. 66 (4), 565–592 (2010).
 F. Mamedov and T. İbrahimov, On the behavior of some nonlinear degenerating ellliptic inequalities, Differential Equations, 46 (5), 707–717 (2010).
 F. Mamedov and Y. Zeren, On boundedness of weighted Hardy operator in and regularity condition, Journal of Inequal. and Appl., Volume 2010, Article ID 37951, 14 pages DOI:10.1155/2010/837951
 F. Mamedov and Y. Zeren, On a two weighted estimation of maximal operator in the Lebesgue spaces with variable exponent. Anali di Mathematica Pure ed Applicata., 190 (2), 263–275 (2011).
 F. Mamedov and A. Harman, On the removability of isolated singular points for degenerating nonlinear elliptic equation, Nonlinear Analysis: Theory, Methods & Applications,71 (12), 6290–6298 (2009).
 F. Mamedov and A. Harman, On a weighted inequality of Hardy type in spaces (with Harman A.). Journal of Mathematical Analyzes and Application,353 (2), 521–530 (2009).
 F. Mamedov and R. Amanov, On some nonunıform cases of the weıghted Sobolev and Poıncare inequalıtıes, St. Petersburg Matematical Journal,20 (3), 447–463 (2009).
 F. Mamedov and R. Amanov, On some propertıes of solutıons of quasılınear degenerate equatıons, Ukrainian Mathematical Journal,60(7), 1073–1098 (2008).
 F. Mamedov and R. Amanov, Regularity of the solutions of degenerate elliptic equations in divergent form(with, Mathematical Notes, 83(1–2), 3–13 (2008).
 F. Mamedov, R. Mashiev, S. Ogrash, Hardy's inequality in power-type weighted spaces, Journal Mathematic Analyzes and Application,334(1), 289–298 (2007).
 F. Mamedov and R. Amanov, On local and global properties of solutions of semilinear equations with principal part of the type of a degenerating p-Laplacian (withAmanov R.). Differential Equations,43(12), 1724–1732 (2007).
 F. Mamedov and R. Amanov, On Wiener's criterion for an elliptic equation with nonuniform degeneration, Georgian Mathematical Journal,14(4), 607–626 (2007). 
 F. Mamedov and Sh salmanova, On strong solvability of the Dirichlet problem for semilinear elliptic equations with discontinuous coefficients.Transactions of National. Academy of ScienceAzerbaijan. Ser. Math-Mech.,27 (7), 117–124 (2007).
 F. Mamedov and M. Mirheydarli, On a priori estimation and uniqueness of solutions of Neumann problem for quasilinear elliptic equations with discontinuous coefficients, Transactions of National Academy of ScienceAzerbaijan, Ser. Math-Mech.,26 (1), 125–136 (2006).
 F. Mamedov and M. Mirheydarli, On solvability of Neumann problem for Cordes type quasi-linear elliptic equations, Transactions of National Academy of Science of Azerbaijan. Ser. Math-Mech., 24 (7), 109–126 (2004).
 F. Mamedov and M. Mirheydarli, On solvability of Neumann problem for Cordes type quasi-linear elliptic equations, Transactions of National Academyof ScienceAzerbaijan. Ser. Math-Mech.,24 (7), 109–126 (2004).
 F. Mamedov and A. Quliev, On examples of nonequivalence of weight estimates for Reisz potentials and embedding. Proceedings of National. Academyof Science of Azerbaijan. Ser. Math.-Mech.,20, 15–20 (2004).
 F. Mamedov and A. Quliev, On some qualitative properties of solutions of degenerated quasilinear elliptic equations. (with Quliyev A.). Transactions of National. Academy of Science of Azerbaijan. Ser. Math-Mech.,22 (4), 91–105(2003).
 F. Mamedov, Poincare’s type weighted inequalities in domains with isoperimetric type. Proceedings of A. Razmadze Mathematical Institute Georgian Academy of Sience,128, 101–112 (2002).
 F. Mamedov, Poincare’s type weighted inequalities in domains with isoperimetric type condition.Transactions of National Academy of Science Azerbaijan.Ser. Math.-Mech.,21(4), 93–103 (2001).
 F. Mamedov and A. Quliev, On the nonlinear weight analogue of the Landis-Gervers type mean value theoremand its applications to quasilinear equations. Proceedings of National Academy of Science of Azerbaijan.Ser. Math.-Mech.,12(20), 74–81 (2000) 
 F. Mamedov, On weight inequalities of qualitative theory of elliptic equations. Bulletin of Tbilisi International Center of Mathematics and Information (TISMI), Georgian. Advances Courses of Function Spaces and Applications,4, 31–35(2000) (www.viam.hepi.edu.ge).
 F. Mamedov, On the multidimensional weighted Hardy inequalities of fractionalorder. Proceedings of National Academy of Science Azerbaijan. Ser Math.-Mech., 10 (18), 102–114 (1999).
 F. Mamedov, On two weighted inequalities of Sobolev type in the unbounded domains. Proceedings of A. Razmadze Mathematical Institute Georgian Academy of Sience,121,117–123 (1999).
 F. Mamedov, Weighted inequalities of the Poincare-Sobolev`s type with weight from the left in the unbounded domains.Transactions of National Academy of Science Azerbaijan. Ser. Mat.-Mech., 13 (3–4), 104–114 (1998).
 F. Mamedov, Regularıty of solutıons of lınear and quası-lınear equatıons of ellıptıc type ın dıvergence form.Mathematical Notes,53(1), 68–82 (1993).
 F. Mamedov, On the Harnack ınequalıty for the equatıon formally adjoınt to a lınear ellıptıc dıfferentıal-equatıon. Siberian Mathematical Journal,33(5), 100–106 (1992).
 F. Mamedov and A. Novruzov, On smoothness of solutıons of degenerate 2nd-order quası-lınear ellıptıc-equatıons, Doklady Russian Academy of Science,321(3), 478–481 (1991).
 F. Mamedov, Theorems of the Phragmen-Lindelef types for 2nd-order lınear dıvergence ellıptıc-equatıons wıth posıtıve rıght sıdes. Differential Equations,26(11), 1971–1978 (1990).
 F. Mamedov, On bound ness of solutions of the parabolique equations near the irregular boundary points.Proceedings of Azerbaijan Academy of Science, Ser. Math.- Mech., 5(2), 17–23 (1984).
 F. Mamedov, On smoothness of solutions of elliptic equations near the irregular boundary points.Proceedings of National Academy of Science Azerbaijan. Ser. Math.-Mech.,6(5), 42–47 (1985).



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