**Professor of Mathematics**

**My Interest Fields**

- Ordinary Differential Equations,

- Partial Differential Equations,

- Fixed Point Theory & Applications.

**Personal web page:****https://sites.google.com/view/a-aghajani**

**Some Selected Publications**

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- A. Aghajani, C. Cowan, Some elliptic problems involving the gradient on general bounded and exterior domains, Calculus of Variations and Partial Differential Equations 60, 188 (2021). https://doi.org/10.1007/s00526-021-02066-7

- A. Aghajani, C. Cowan and V.D. Radulescu, Positive supersolutions of fourth-order nonlinear elliptic equations: explicit estimates and Liouville theorems, Journal of Differential Equations 298 (2021) 323-345.

- A. Aghajani, C. Cowan, An Elliptic Problem Involving Large Advection, Potential Analysis (2021) https://doi.org/10.1007/s11118-021-09949-6

- A. Aghajani, C. Cowan, A supercritical variable exponent problem, Journal of Mathematical Analysis and Applications, (2021) https://doi.org/10.1016/j.jmaa.2021.125603

- A. Aghajani, C. Cowan,
*A note on the nonexistence of positive supersolutions to elliptic equations with gradient terms*, Annali di Matematica Pura ed Applicata (1923 -) (2020) DOI 10.1007/s10231-020-00987-2

- A. Aghajani, C. Cowan,
*Singular solutions of elliptic equations on a perturbed cone*, Journal of Differential Equations, 266, 6 (2019) 3328-3366. [URL]

- A. Aghajani, C. Cowan,
*Explicit estimates on positive supersolutions of nonlinear elliptic equations and applications*, Discrete Contin. Dyn. Syst., Series A, 39(5), (2019) 2731-2742. [URL]

- A. Aghajani, C. Cowan,
*Regularity of the extremal solutions associated to elliptic systems*, The Royal Society of Edinburgh, Proceedings A, 149, 4 (2019) 1037-1046. [URL]

- A. Aghajani, AM. Tehrani,
*Bounds for the extremal parameter of nonlinear eigenvalue problems and applications*, Asymptotic Analysis, pp. 1-21, (2019), DOI: 10.3233/ASY-201613 [URL]

- A. Aghajani, C. Cowan and S. H. Lui,
*Singular solutions of elliptic equations involving nonlinear gradient terms on perturbations of the ball*, Journal of Differential Equations 264, 4 (2018), 2865-2896. [URL]

- A. Aghajani, S.F. Mottaghi,
*Regularity of extremal solutions of semilinaer fourth-order elliptic problems with general nonlinearities*, Communications on Pure and Applied Analysis 17, 3 (2018) 887-898. [URL]

- A. Aghajani, C. Cowan and S. H. Lui,
*Existence and regularity of nonlinear advection problems*, Nonlinear Analysis: Theory, Methods and Applications, 166 (2018) 19–47. [URL]

- A. Aghajani,
*Regularity of extremal solutions of semilinear elliptic problems with non-convex nonlinearities on general domains*, Discrete Contin. Dyn. Syst., Series A, 37, 7 (2017), 3521-3530. [URL]

- A. Aghajani, AM. Tehrani,
*Pointwise bounds for positive supersolutions of nonlinear elliptic problems involving the p-Laplacian*, Electron. J. Differential Equations, Vol. 2017 (2017), No. 46, pp. 1-14. [URL]

- A. Aghajani,
*New a priori estimates for semistable solutions of semilinear elliptic equations*, Potential Analysis: 44(4): (2016) 729-744. [URL]

- A. Aghajani,
*Singular set of solutions of semilinear elliptic equations*, Nonlinear Analysis: Theory, Methods & Applications, 127 (2015) 206-214. [URL]

- A. Aghajani, N. Ghoussoub and A.M. Tehrani,
*Pointwise lower bounds for solutions of semilinear elliptic equations and applications*, Advanced Nonlinear Studies , 14: (2014), 813-837. [URL]

- A. Aghajani,
*A two-phase free boundary problem for a semilinear elliptic equation*, Bull. Iranian Math. Soc.., 40, 5 (2014) 1067-1086. [URL]

- A. Aghajani, J. Banas and N. Sabzali,
*Some generalizations of Darbo fixed point theorem and applications*, Bulletin of the Belgian Mathematical Society, 20, 2 (2013), 345-358. [URL]

- R. P. Agarwal, A. Aghajani and V. Roomi,
*Existence of homoclinic orbits for general planar dynamical system of Lienard type*, Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis 18 (2012) 267-284 [URL]

- A. Aghajani, Y. Jalilian and J.J. Trujillo,
*On the existence of solutions of fractional integro-differential equations*, Fractional Calculus and Applied Analysis, 15 (2012) 46-69. [URL]

- A. Aghajani, J. Banas and Y. Jalilian,
*Existence of solutions for a class of nonlinear Volterra singular integral equations*, Computers and Mathematics with Applications 62 (2011) 1215–1227. [URL]

- A. Aghajani and A. Moradifam,
*The generalized Lienard equations*, Glasgow Mathematical Journal, 51 (2009), 605-617. [URL]

- A. Aghajani and A. Moradifam,
*Oscillation of soloution of second-order nonlinear differential equations of Euler type*, Journal of Mathematical Analysis and Applications, 326 (2007), 1076–1089. [URL]

- A. Aghajani and A. Moradifam,
*Intersection with the vertical isocline in the liénard plane*, Nonlinear Analysis: Theory, Methods & Applications, 68 (2008) 3475-3484. [URL]