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Department of Mathematics

College of Natural & Agricultural Sciences

Publications

Books

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

Refereed Journal Papers
  1. 40. R. Lopez and A. Moradifam, Stability of Current Density Impedance Imaging, Submitted  PDF
  2. 39. 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
  3. 38.  M. Fotouhi and A. Moradifam, General Least Gradient Problems with Obstacle, Calc. Var. Partial Differential Equations, to appear.  PDF
  4. 37. C. Gui, F. Hang, and A. Moradifam, The sphere covering inequality and its dual, Submitted . PDF
  5. 36. 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
  6. 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.  PDF
  7. 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.  PDF
  8. 33. C. Gui and A. Moradifam, The Sphere Covering Inequality and Its Applications, Inventiones Mathematicae, 214 (2018), no. 3, 1169-1204.  PDF
  9. 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. PDF
  10. 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.  PDF
  11. 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. PDF
  12. 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.  PDF
  13. 28. A. Moradifam, Least Gradient Problems with Neumann Boundary Condition, Journal of Differential Equations , 263 (2017), no. 11, 7900–7918. PDF
  14. 27. A. Moradifam, Existence and structure of minimizers of least gradient problems, Indiana University Math Journal , 67 (2018), no. 3, 1025–1037. PDF
  15. 26. G. Bal and A. Moradifam, Photo-acoustic tomography in a rotating measurement setting, Inverse Problems, 32 (2016), no. 10, 105012, 10 pp.  PDF
  16. 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. PDF
  17. 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. PDF
  18. 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.  PDF
  19. 22. 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
  20. 21. 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
  21. 20. A. Moradifam and A. Nachman, Convergence of the alternating split Bregman algorithm in infinite-dimensional Hilbert spaces , preprint.  PDF
  22. 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
  23. 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
  24. 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
  25. 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
  26. A. Aghajani and A. Moradifam, On the homoclinic orbits of the generalized Liénard equations , Appl. Math. Lett. , 20 (2007), no. 3, 345–351. PDF
  27. 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
  28. 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
  29. A. Aghajani and A. Moradifam, Intersection with the vertical isocline in the Liénard plane, Nonlinear Anal. , 68 (2008), no. 11, 3475–3484. PDF
  30. A. Aghajani and A. Moradifam, The generalised Liénard equations, Glasg. Math. J. , 51 (2009), no. 3, 605–617. PDF
  31. 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
  32. 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
  33. 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
  34. A. Moradifam, The singular extremal solutions of the bilaplacian with exponential nonlinearity, Proc. Amer. Math Soc. , 138 (2010), no. 4, 1287–1293. PDF
  35. 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
  36. N. Ghoussoub and A. Moradifam, Bessel pairs and optimal Hardy and Hardy-Rellich inequalities, Math. Annalen , 349 (2011), no. 1, 1–57. PDF
  37. M. Ghergu, A. Moradifam, and S. Taliaferro, Isolated singularities of polyharmonic inequalities, J. Funct. Anal. , 261 (2011), no. 3, 660–680. PDF
  38. 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
  39. 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

  40. 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
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