Nurgissa Yessirkegenov

I am a Postdoctoral Researcher at the Department of Mathematics: Analysis, Logic and Discrete Mathematics of Ghent University. I am a member of the research group “Analysis and PDEs” of Prof. Michael Ruzhansky. nurgissa_yessirkegenov-png-e1509735998783

Broadly speaking, my research interests are in the intersection of functional inequalities and noncommutative analysis, and their applications to PDE. I am also interested in very weak solutions to PDEs with singularities and local/global well-posedness of nonlinear PDEs on Lie groups and manifolds.


  1. Ruzhansky M., Yessirkegenov N., A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups. Preprint. Arxiv (arXiv:2005.11503) (2020).
  2. Function spaces on Lie groups and applications. Ph.D. Thesis, Imperial College London, (2020). 307pp.
  3. Ruzhansky M., Yessirkegenov N., Factorizations and Hardy-Rellich inequalities on stratified groups. J. Spectr. Theory, to appear.
  4. Ruzhansky M., Suragan D., Yessirkegenov N., Euler semigroup, Hardy-Sobolev and Gagliardo-Nirenberg type inequalities on homogeneous groups. Semigroup Forum (2020).
  5. Ruzhansky M., Yessirkegenov N., Very weak solutions to hypoelliptic wave equations. J. Differential Equations, 268 (2020), 2063-2088.
  6. Ruzhansky M., Yessirkegenov N., Limiting cases of Sobolev inequalities on stratified groups. Proc. Japan. Acad., Ser. A, 95 (2019), no. 8, 83-87.
  7. Laptev A., Ruzhansky M., Yessirkegenov N., Hardy inequalities for Landau Hamiltonian andfor Baouendi-Grushin operator with Aharonov-Bohm type magnetic field. Part I. Math. Scand., 125 (2019), no. 2, 239–269.
  8. Ruzhansky M., Yessirkegenov N., Rellich inequalities for sub-Laplacians with drift. Proc. Amer. Math. Soc., 147 (2019), no. 3, 1335–1349.
  9. Ruzhansky M., Yessirkegenov N., New Progress on Weighted Trudinger–Moser and Gagliardo–Nirenberg, and Critical Hardy Inequalities on Stratified Groups. In: Boggiatto P. et al. (eds) Landscapes of Time-Frequency Analysis. Applied and Numerical Harmonic Analysis. Birkhäuser. (2019), 277-289.
  10. Velicu A., Yessirkegenov N., Rellich, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg inequalities for Dunkl operators and applications. Preprint. Arxiv (arXiv:1904.08725) (2019).
  11. Ruzhansky M., Suragan D., Yessirkegenov N., Extended Caffarelli-Kohn-Nirenberg inequalities, and remainders, stability and superweights for Lp-weighted Hardy inequalities. Trans. Amer. Math. Soc. Ser. B, 5 (2018), 32-62.
  12. Ruzhansky M., Suragan D., Yessirkegenov N., Sobolev type inequalities, Euler-Hilbert-Sobolev and Sobolev-Lorentz-Zygmund spaces on homogeneous groups. Integral Equations Operator Theory, 90 (2018), no. 1, 90:10.
  13. Ruzhansky M., Suragan D., Yessirkegenov N., Hardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spaces. Fract. Calc. Appl. Anal., 21 (2018), 577-612.
  14. Yessirkegenov N., Spectral properties of the generalized Samarskii-Ionkin type problems. Filomat, 32 (2018), no. 3, 1019–1024.
  15. Sadybekov M., Dukenbayeva A., Yessirkegenov N., On a Generalised Samarskii-Ionkin Type Problem for the Poisson Equation. In: Ibragimov Z., Levenberg N., Rozikov U., Sadullaev A. (eds) Algebra, Complex Analysis, and Pluripotential Theory. USUZCAMP2017, volume 264 of Springer Proceedings in Mathematics & Statistics. Springer, Cham, 2018, 207-216.
  16. Ruzhansky M., Yessirkegenov N., Existence and non-existence of global solutions for semilinear heat equations and inequalities on sub-Riemannian manifolds, and Fujita exponent on unimodular Lie groups. Preprint. Arxiv (arXiv:1812.01933v2) (2018).
  17. Ruzhansky M., Yessirkegenov N., Hardy, Hardy-Sobolev and Caffarelli-Kohn-Nirenberg inequalities on general Lie groups. Preprint. Arxiv (arXiv:1810.08845) (2018).
  18. Ruzhansky M., Yessirkegenov N., Hypoelliptic functional inequalities. Preprint. Arxiv (arXiv:1805.01064) (2018).
  19. Ruzhansky M., Yessirkegenov N., Hardy, weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg type inequalities on Riemannian manifolds with negative curvature. Preprint. Arxiv (arXiv:1802.09072) (2018).
  20. Ruzhansky M., Suragan D., Yessirkegenov N., Caffarelli-Kohn-Nirenberg and Sobolev type inequalities on stratified Lie groups. NoDEA Nonlinear Differential Equations Appl, 24 (2017), no. 5, 24:56.
  21. Ruzhansky M., Suragan D., Yessirkegenov N., Extended Caffarelli-Kohn-Nirenberg inequalities and superweights for Lp-weighted Hardy inequalities. C. R. Acad. Sci. Paris, 355 (2017), 694-698.
  22. Sadybekov M., Yessirkegenov N., Spectral properties of a boundary value problem with shift for the wave equation. Russian Mathematics (Iz. VUZ), 60 (2016), no. 3, 41-46.
  23. Sadybekov M., Yessirkegenov N., Boundary value problems for wave equations with data on the whole boundary. Electron. J. Differential Equations, 2016 (2016), 1-9.
  24. Sadybekov M., Yessirkegenov N., Properties of solutions to Neumann-Tricomi problems for Lavrent’ev-Bitsadze equations at corner points. Electron. J. Differential Equations, 2014(2014), no. 193, 1-9.