• In PhD program.

    Title of my PhD Dissertation: m-Liouville theorems and regularity results for elliptic PDEs (Sept 2008 - Dec 2012)

    • Higher dimensional solutions for non-uniformly elliptic equations,
      Preprint, 12 pp.

    • Regularity of the extremal solutions associated to some elliptic systems, Submitted (June 2012), 17 pp, PDF. (with C. Cowan)

    • De Giorgi type results for elliptic systems,
      To appear in Calc. Var. & PDE, 12 pp, PDF. (with N. Ghoussoub)

    • Uniqueness of solutions for a nonlocal elliptic eigenvalue problem,
      Math. Res. Lett. 19 (2012), no. 03, 613-626, PDF. (with C. Cowan)

    • On the Henon-Lane-Emden conjecture, To appear in Disc. Cont. Dyn. Syst. A, 23 pp, PDF. (with N. Ghoussoub).
      *Note that Theorem 4 has been added to this new version.

    • On stable entire solutions of semilinear elliptic equations with weights, Proc. Amer. Math. Soc. 140 (2012), 2003-2012. PDF. (with C. Cowan)

    • Liouville-type theorems for stable solutions of certain elliptic systems, Advanced Nonlinear Studies 12 (2012), 1-17. PDF.

  • In MSc program:

    Title of my MSc Thesis: Existence of periodic solutions for ODEs via degree theory (Sept 2004 - July 2006)

    • Periodic solutions for a semi-ratio-dependent predator-prey dynamical system with a class of functional responses on time scales. Discrete Contin. Dyn. Syst. Ser. B 9 (2008), no. 2, 267-279, PDF. (with M. Hesaaraki)

    • Periodic solutions for predator-prey systems with Beddington-DeAngelis functional response on time scales, Nonlinear Anal. RWA 9 (2008), no. 3, 1224-1235, PDF. (with M. Hesaaraki)

    • Periodic solutions for a discrete time predator-prey system with monotone functional responses. C. R. Math. Acad. Sci. Paris 345 (2007), no. 4, 199-202, PDF. (with M. Hesaaraki)