Ali Hyder

Postdoctoral Fellow  

Department of Mathematics
Johns Hopkins University

Krieger Hall
Room  221
Baltimore, MD, 21218

E-mail:  ahyder4@jhu.edu

Research Interests

Publications

  1. Local and nonlocal problems regarding the Q-curvature and the Adams-Moser-Trudinger inequalities
    Doctoral Dissertation (2017),  (Download)
  2. Conformal metrics on R^2m with constant Q-curvature, prescribed volume and asymptotic behavior
    (With L. Martinazzi) Discrete Contin. Dynam. Systems, A. 35 (2015),  no. 1, 283-299. (Journal/arXiv)
  3. Existence of entire solutions to a fractional Liouville equation in R^n
    Rend. Lincei. Mat. Appl. 27 (2016), 1-14. (Journal/arXiv)
  4. Moser functions and fractional Moser-Trudinger type inequalities
    Nonlinear Analysis. 146 (2016), 185-210. (Journal/arXiv)
  5. Conformally Euclidean metrics on R^n with arbitrary total Q-curvature
    Analysis & PDE. 10 (2017), no. 3, 635-652. (Journal/arXiv)
  6. Large blow-up sets for the prescribed Q-curvature equation in the Euclidean space
    (With S. Iula and  L. Martinazzi) Commun. Contemp. Math (2018), (Journal/arXiv)
  7. Structure of conformal metrics on R^n with constant Q-curvature
    Differential and Integral Equations 32 (2019), no. 7-8, 423-454. (Journal/arXiv)
  8. The non-local mean-field equation on an interval
    (With A. Delatorre, L. Martinazzi and Y. Sire) Commun. Contemp. Math (2019) (Journal/arXiv)
  9. Higher order conformally invariant equations in R^3 with prescribed volume
    (With J. Wei) Comm. Pure Appl. Anal. 18(5): (2019) 2757-2764. (Jounal/arXiv)
  10. Local and nonlocal singular Liouville equations in Euclidean spaces,
    (With G. Mancini and L. Martinazzi) To appear in Int. Math. Res. Not. (IMRN) (2019). (Journal/arXiv)
  11. Non-radial solutions to a bi-harmonic negative exponent problem
    (With J. Wei) To appear in CVPDE  (2019).  (Journal/arXiv)  
  12. On SU(3) Toda system with multiple singular sources
    (With C.-S. Lin and  J. Wei) Preprint, (2018).  (Journal/arXiv)
  13. Gluing metrics with prescribed Q-curvature and di fferent asymptotic behaviour in high dimension
    (With L. Martinazzi) Preprint (2018). (arXiv)
  14. Concentration phenomena for the fractional Q-curvature equation in dimension 3
    (With A. Delatorre, M. D. M. Gonzalez and L. Martinazzi) Preprint, (2018). (arXiv)
  15. On the general Toda system with multiple singular points
    (With J. Wei and W. Yang), Preprint (2019). (arxiv)
  16. Singular sulutions for the constant Q-curvature problem
    (With Y. Sire) in preparation
  17. Concentration phenomena to a higher order Liouville equation
    in preparation


My research profile in MathScinet ResearchGate ORCID