Publications
N. Ghoussoub and A. Moradifam, Functional Inequalities: New Perspectives and Applications, Mathematical Surveys and Monographs, American Mathematical Society, 2013.
46. C. Gui and A. Moradifam, Symmetry and Rigidity Results for the Mean Field Equation and Hawking Mass on S², Submitted. arXiv:2605.15448
45. C. Gui and A. Moradifam, A Generalization of the Sphere Covering Inequality, Submitted. arXiv:2510.18681
44. A. Moradifam and G. Orozco-Fernandez, Stability of p-area minimizing surfaces in the Heisenberg group, Submitted. arXiv:2605.01070
43. W. Chen, A. Moradifam, and G. Orozco-Fernandes, Convergent algorithms for p-area minimizing surfaces in the Heisenberg group, Journal of Computational and Applied Mathematics, 475 (2026), 117005.
42. A. Moradifam and A. Rowell, Existence and structure of solutions for general P-area minimizing surfaces, Communications on Pure and Applied Analysis, 24 (2025), no. 6, 1078–1093.
41. A. Moradifam and R. Lopez, Stability of current density impedance imaging II, Communications on Pure and Applied Analysis, 20 (2021), no. 11, 4025–4041.
40. R. Lopez and A. Moradifam, Stability of Current Density Impedance Imaging, SIAM J. Math. Anal., 52 (2020), no. 5, 4506–4523.
39. C. Gui, F. Hang, A. Moradifam, and X. Wang, Remarks on a mean field equation on S^2, J. Math. Study, 54 (2021), no. 1, 81–88.
38. M. Fotouhi and A. Moradifam, General Least Gradient Problems with Obstacle, Calc. Var. Partial Differential Equations, 58 (2019), no. 5, Art. 182.
37. C. Gui, F. Hang, and A. Moradifam, The sphere covering inequality and its dual, Communications on Pure and Applied Mathematics, 73 (2020), no. 12, 2685–2707.
36. C. Knox and A. Moradifam, Determining both the source of a wave and its speed in a medium from boundary measurements, Inverse Problems, 36 (2020), no. 2, 025002.
35. D. Bartolucci, C. Gui, A. Jevnikar, and A. Moradifam, A singular Sphere Covering Inequality: uniqueness and symmetry of solutions to singular Liouville-type equations, Math. Annalen, 374 (2019), no. 3-4, 1883–1922.
34. C. Gui, A. Jevinkar, and A. Moradifam, Symmetry and uniqueness of solutions to some Liouville-type equations and systems, Comm. Partial Differential Equations, 43 (2018), no. 3, 428–447.
33. C. Gui and A. Moradifam, The Sphere Covering Inequality and Its Applications, Inventiones Mathematicae, 214 (2018), no. 3, 1169-1204.
32. C. Knox and A. Moradifam, Electrical Networks with Prescribed Current and Applications to Random Walks on Graphs, Inverse Probl. Imaging, 13 (2019), no. 2, 353–375.
31. C. Gui and A. Moradifam, Uniqueness of solutions of mean field equations in R^2, Proc. Amer. Math. Soc., 146 (2018), no. 3, 1231–1242.
30. C. Gui and A. Moradifam, Symmetry of solutions of a mean field equation on flat tori, Int. Math. Res. Not. IMRN, 2019, no. 3, 799–809.
29. P. Martinez, L.A. Allsman, K.A. Brakke, C. Hoyt, J. Hayes, H. Liang, W. Neher, Y. Rui, A. M. Roberts, A. Moradifam, B. Goldstein, C. T. Anderson, and C.G. Rasmussen, Predicting division planes of three-dimensional cells by soap-film minimization, Plant Cell, Vol. 30: 2255–2266, October 2018.
28. A. Moradifam, Least Gradient Problems with Neumann Boundary Condition, Journal of Differential Equations, 263 (2017), no. 11, 7900–7918.
27. A. Moradifam, Existence and structure of minimizers of least gradient problems, Indiana University Math Journal, 67 (2018), no. 3, 1025–1037.
26. G. Bal and A. Moradifam, Photo-acoustic tomography in a rotating measurement setting, Inverse Problems, 32 (2016), no. 10, 105012, 10 pp.
25. A. Moradifam, A. Nachman, and A. Tamasan, Uniqueness of minimizers of weighted least gradient problems arising in conductivity imaging, Calc. Var. Partial Differential Equations, 57 (2018), no. 1, Art. 6, 14 pp.
24. R.L. Jerrard, A. Moradifam, and A. Nachman, Existence and uniqueness of minimizers of general least gradient problems, J. Reine Angew. Math., 734 (2018), 71–97.
23. N. Hoell, A. Moradifam, and A. Nachman, Current Density Impedance Imaging with an Anisotropic Conductivity in a Known Conformal Class, SIAM J. Math. Anal., 46 (2014), no. 3, 1820–1842.
22. A. Moradifam, A. Nachman, and A. Timonov, A convergent algorithm for the hybrid problem of reconstructing conductivity from minimal interior data, Inverse Problems, 28 (2012), no. 8, 084003, 23 pp.
21. A. Nachman, A. Tamasan, and A. Moradifam, Conductivity imaging from one interior measurement in the presence of perfectly conducting and insulating inclusions, SIAM J. Math. Anal., 44 (2012), 3969-3990.
20. A. Moradifam and A. Nachman, Convergence of the alternating split Bregman algorithm in infinite-dimensional Hilbert spaces, preprint.
19. E. Kamalinejad and A. Moradifam, Radial symmetry of large solutions of semilinear elliptic equations with advection, Proc. Roy. Soc. Edinburgh Sect. A, 144 (2014), no. 1, 139–147.
18. A. Moradifam, Optimal weighted Hardy-Rellich inequalities on H^2 ∩ H^1_0, J. London. Math. Soc. (2), 85 (2012), no. 1, 22–40.
17. A. Moradifam, Sharp counterexamples related to De Giorgi conjecture in dimensions 4≤ n ≤ 8, Proc. Amer. Math. Soc., 142 (2014), no. 1, 199–203.
16. M. Ghergu, A. Moradifam, and S. Taliaferro, Isolated singularities of polyharmonic inequalities, J. Funct. Anal., 261 (2011), no. 3, 660–680.
15. N. Ghoussoub and A. Moradifam, Bessel pairs and optimal Hardy and Hardy-Rellich inequalities, Math. Annalen, 349 (2011), no. 1, 1–57.
14. C. Cowan, P. Esposito, N. Ghoussoub, and A. Moradifam, The critical dimension for a fourth order elliptical problem with singular nonlinearity, Arch. Ration. Mech. Anal., 198 (2010), no. 3, 763–787.
13. A. Moradifam, The singular extremal solutions of the bilaplacian with exponential nonlinearity, Proc. Amer. Math Soc., 138 (2010), no. 4, 1287–1293.
12. N. Ghoussoub and A. Moradifam, A note on simultaneous preconditioning and symmetrization of non-symmetric linear systems, Numer. Linear Algebra Appl., 18 (2011), no. 3, 343–349.
11. A. Moradifam, On the critical dimension of a fourth order elliptic problem with negative exponent, Journal of Differential Equations, 248 (2010), no. 3, 594–616.
10. N. Ghoussoub and A. Moradifam, On the best possible remaining term in the improved Hardy inequality, Proc. Nat. Acad. Sci. U.S.A., 105 (2008), no. 37, 13746–13751.
9. A. Aghajani and A. Moradifam, The generalised Liénard equations, Glasg. Math. J., 51 (2009), no. 3, 605–617.
8. A. Aghajani and A. Moradifam, Intersection with the vertical isocline in the Liénard plane, Nonlinear Anal., 68 (2008), no. 11, 3475–3484.
7. M. Hesaaraki and A. Moradifam, On the existence of bounded positive solutions of Schrödinger equations in two-dimensional exterior domains, Appl. Math. Lett., 20 (2007), no. 12, 1227–1231.
6. M. Hesaaraki and A. Moradifam, Intersection with the vertical isocline in the generalized Liénard equations, J. Math. Anal. Appl., 334 (2007), no. 2, 787–798.
5. A. Aghajani and A. Moradifam, On the homoclinic orbits of the generalized Liénard equations, Appl. Math. Lett., 20 (2007), no. 3, 345–351.
4. A. Aghajani and A. Moradifam, Oscillation of solutions of second-order nonlinear differential equations of Euler type, J. Math. Anal. Appl., 326 (2007), no. 2, 1076–1089.
3. M. Hesaaraki and A. Moradifam, Oscillation criteria for second-order nonlinear self-adjoint differential equations, Methods Appl. Anal., 13 (2006), no. 4, 373–385.
2. A. Aghajani and A. Moradifam, Nonexistence of limit cycles in two classes of predator-prey systems, Appl. Math. Comput., 175 (2006), no. 1, 356–365.
1. A. Aghajani and A. Moradifam, Some sufficient conditions for the intersection with the vertical isocline in the Liénard plane, Appl. Math. Lett., 19 (2006), no. 5, 491–497.