Personal Webpage
Dr. Asadollah Aghajani
Professor of Mathematics
Iran University of Science & Technology
Fields of interest:
Ordinary Differential Equations
Partial Differential Equations
Fixed Point Theory & Applications
Links:
Some Selected Publications:
A. Aghajani, J. Kinnunen, Supersolutions to nonautonomous Choquard equations in general domains., Adv. Nonlinear Anal. 12, Article ID 20230107, 21 p. (2023).
A. Aghajani, V.D. Radulescu, Positive supersolutions of non-autonomous quasilinear elliptic equations with mixed reaction, Ann. Inst. Fourier 73, No. 6, 2543-2566 (2023).
A. Aghajani, C. Cowan and S. H. Lui, A nonlinear elliptic problem involving the gradient on a half space, Discrete Contin. Dyn. Syst. 43, No. 1, 378-391 (2023).
A. Aghajani, C. Cowan, An Elliptic Problem Involving Large Advection, Potential Anal. 58, No. 3, 545-560 (2023).
A. Aghajani, H. Shahgholian, Pointwise estimates for systems of coupled p-Laplacian elliptic equations, Commun. Pure Appl. Anal. 22, No. 3, 899-921 (2023).
A. Aghajani, C. Cowan, A. Moameni, The Gelfand problem on annular domains of double revolution with monotonicity, Proc. Am. Math. Soc. 150, No. 8, 3457-3470 (2022).
A. Aghajani, C. Cowan, A supercritical variable exponent problem, J. Math. Anal. Appl. 505, No. 2, Article ID 125603, 9 p. (2022).
A. Aghajani, C. Cowan, Some elliptic problems involving the gradient on general bounded and exterior domains, Calc. Var. Partial Differ. Equ. 60, No. 5, Paper No. 188, 23 p. (2021).
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, A note on the nonexistence of positive supersolutions to elliptic equations with gradient terms, Ann. Mat. Pura Appl. (4) 200, No. 1, 125-135 (2021).
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]