N. Ghoussoub and A. Moradifam, **Functional Inequalities: New Perspectives and Applications**** ** , Mathematical Surveys and Monographs, American Mathematical Society, 2013.

- 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. PDF - 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. PDF - M. Hesaaraki and A. Moradifam,
**Oscillation criteria for second-order nonlinear self-adjoint differential equations**,*Methods Appl. Anal.*, 13 (2006), no. 4, 373–385. (Dedicated to Professor Joel Smoller on the occasion of his 70th birthday) PDF - 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. PDF - A. Aghajani and A. Moradifam,
**On the homoclinic orbits of the generalized Liénard equations**,*Appl. Math. Lett.*, 20 (2007), no. 3, 345–351. PDF - 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. PDF - 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. PDF - A. Aghajani and A. Moradifam,
**Intersection with the vertical isocline in the Liénard plane,***Nonlinear Anal.*, 68 (2008), no. 11, 3475–3484. PDF - A. Aghajani and A. Moradifam,
**The generalised Liénard equations,***Glasg. Math. J.*, 51 (2009), no. 3, 605–617. PDF - 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. PDF - 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. PDF - 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. PDF - A. Moradifam,
**The singular extremal solutions of the bilaplacian with exponential nonlinearity**,*Proc. Amer. Math Soc.*, 138 (2010), no. 4, 1287–1293. PDF - 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. PDF - N. Ghoussoub and A. Moradifam,
**Bessel pairs and optimal Hardy and Hardy-Rellich inequalities**,*Math. Annalen*, 349 (2011), no. 1, 1–57. PDF - M. Ghergu, A. Moradifam, and S. Taliaferro,
**Isolated singularities of polyharmonic inequalities**,*J. Funct. Anal.*, 261 (2011), no. 3, 660–680. PDF - A. Moradifam,
**Sharp counterexamples related to De Giorgi conjecture in dimensions 4\leq n \leq 8**,*Proc. Amer. Math. Soc.*, 142 (2014), no. 1, 199–203. PDF - A. Moradifam,
**Optimal weighted Hardy-Rellich inequalities on H^2 \cap H^1_0,***J. London. Math. Soc. (2)*, 85 (2012), no. 1, 22–40. PDF - 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. PDF - A. Moradifam and A. Nachman,
**Convergence of the alternating split Bregman algorithm in infinite-dimensional Hilbert spaces**, preprint. PDF - Conductivity imaging from one interior measurement in the presence of perfectly conducting and insulating inclusions, SIAM J. Math. Anal., 44 (2012), 3969-3990 (with A. Nachman and A. Tamasan) PDF
- A. Moradifam, An 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. PDF - 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. PDF - 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. PDF - 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. PDF - G. Bal and A. Moradifam,
**Photo-acoustic tomography in a rotating measurement setting**, Inverse Problems, 32 (2016), no. 10, 105012, 10 pp. PDF - A. Moradifam,
**Existence and structure of minimizers of least gradient problems**,*Indiana University Math Journal*, 67 (2018), no. 3, 1025–1037. PDF - A. Moradifam,
**Least Gradient Problems with Neumann Boundary Condition**,*Journal of Differential Equations*, 263 (2017), no. 11, 7900–7918. PDF - 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. PDF - 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. PDF - 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. PDF - 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. PDF - C. Gui and A. Moradifam,
**The Sphere Covering Inequality and Its Applications**,*Inventiones Mathematicae*, 214 (2018), no. 3, 1169-1204. PDF - 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. PDF - 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. PDF - C. Knox and A. Moradifam,
**Determining both the source of a wave and its speed in a medium from boundary measurements,***Inverse Problems, to appear*. PDF - C. Gui, F. Hang, and A. Moradifam,
**The sphere covering inequality and its dual,***Submitted*. PDF - M. Fotouhi and A. Moradifam,
**General Least Gradient Problems with Obstacle,***Calc. Var. Partial Differential Equations,*to appear. PDF - C. Gui, F. Hang, A. Moradifam, and X. Wang,
**Remarks on a mean field equation on S^2,***J. Math. Study, to appear*, (Dedicated to Professors A. Chang and P. Yang on the occasion of their 70th birthdays). PDF - R. Lopez and A. Moradifam,
**Stability of Current Density Impedance Imaging,***Submitted*. PDF