Submitted papers:

  1. On the support of measures with fixed marginals with applications in optimal transportation. (2022)

    2. Published or accepted papers

    1. On supercritical elliptic problems: existence, multiplicity of positive and symmetry breaking solutions. Mathematische Annalen (2023) With Craig Cowan
    2. A selfdual variational principle with minimal hypothesis and applications to stationary, dynamic and stochastic equations. Journal of Functional Analysis (2023) With Nassif Ghoussoub
    3. Uniquely minimizing costs for the Kantorovitch problem. Ann. Fac. Sci. Toulouse Math., (2018). With Ludovic Rifford
    4. Supercritical elliptic problems on nonradial domains via a nonsmooth variational approach. J. Differential Equations 341 (2022), 292-323. . With C. Cowan
    5. The Gelfand problem on annular domains of double revolution with monotonicity. Proc. Amer. Math. Soc. 150 (2022), no. 8, 3457-3470. With A. Aghajani, C. Cowan
    6. The Existence of Solutions for a Free Boundary Problem Modeling the Spread of Ecosystem Engineers. J. Nonlinear Sci. 31 (2021), no. 5, Paper No. 72, 58 pp. With M. Basiri, F. Lutscher
    7. Supercritical problems with concave and convex nonlinearities in RN. Commun. Contemp. Math. 23 (2021), no. 6, Paper No. 2050052, 18 pp. With J. M. do O, P. K. Mishra
    8. Super-critical Neumann problems on unbounded domains. Nonlinearity 33 (2020), no. 9, 4568-4589. With C. O. Alves
    9. Critical point theory on convex subsets with applications in differential equations and analysis. Journal of Mathematics Pures et Appliquees (2020)
    10. Existence results for a super-critical Neumann problem with a convex-concave non-linearity. Annali di Matematica Pura ed Applicata (2018). With L. Salimi
    11. Existence of Solutions for Nonlocal Supercritical Elliptic Problems. J. of Geometric Analysis (2019). With K. Wong
    12. Multiplicity results for a non-local problem with concave and convex nonlinearities. Nonlinear Analysis (2019), 182, 263-279 With N. Kouhestani, H.Mahyar.
    13. Supercritical Neumann problems on non-radial domains. Transaction of AMS (2019),371, no. 9, 5993-6023. With Craig Cowan.
    14. Multiplicity results for elliptic problems with super-critical concave and convex nonlinearties. Calc. Var. PDE's 57 (2018), no. 2, Art. 54, 12 pp. With N. Kuhestani
    15. A variational principle for problems with a hint of convexity C. R. Math. Acad. Sci. Paris 355 (2017), no. 12, 1236-1241.
    16. Supercritical Neumann problems via a new variational principle. EJDE, Vol. 2017 (2017), No. 213, 1-19. With C. Cowan and L. Salimi.
    17. Solutions of supercritical semilinear non-homogeneous Elliptic problems Nonlinear Analysis 165 (2017) 121-142. With M. Basiri.
    18. A characterization for solutions of the Monge-Kantorovich mass transport problem . Math. Ann. (2016) 365:1279-1304
    19. Invariance properties of the Monge-Kantorovich mass transport problem. Dis. Cont. Dyn. Sys. 36 (2016), no. 5, 2653-2671
    20. Metric Selfduality and Monotone Vector Fields on Manifolds. J. Fun. Anal. 271 (2016) 1652-1690. With Nassif Ghoussoub.
    21. Supports of extremal doubly stochastic measures . Canad. Math. Bull. 59(2016), 381-391.
    22. Solutions to multi-marginal optimal transport problems concentrated on several graphs. ESAIM: COCV 23 (2017) 551-567.With Brendan Pass.
    23. Symmetric Monge-Kantorovich problems and polar decompositions of vector fields. Geom. Funct. Anal. 24 (2014), no. 4, 1129-1166. With N. Ghoussoub.
    24. A variational principle associated with elliptic boundary value problem J. Differential Equations. 256 (2014), no. 2, 531-557. With M. Koslowsky.
    25. Non-convex self-dual Lagrangians and new variational principles of symmetric boundary value problems: Evolution case. . Adv. Differential Equations 19 (2014), no. 5-6, 527-558.
    26. Multi-marginal Monge-Kantorovich transport problems: A characterization of solutions . C. R. Math. Acad. Sci. Paris 352 (2014), no. 12, 993-998.
    27. New Variational Principles of Symmetric Boundary Value Problems .Journal of Convex Analysis 23 23(2016), No. 4
    28. Optimal mass transport and symmetric representations of their cost functions. Math. Financ. Econ. 8 (2014), no. 4, 435-451. With Nassif Ghoussoub.
    29. A self-dual polar factorization for vector fields. With N. Ghoussoub. Comm. Pure Appl. Math. 66 (2013), no. 6, 905-933.
    30. A new approach in convex Hamiltonian systems with nonlinear boundary conditions. With M. Lewis. Bull. Aust. Math. Soc. 84 (2011), no. 2, 185-204
    31. Solutions for singular quasilinear Schrodinger equations with one parameter. With J. M. do O. . Comm. Pure Appl. Anal. 9 (2010), no. 4, 1011-1028 .
    32. Homogenization via self-duality: A variational homogenization for Maximal Monotone operators. With N. Ghoussoub and R. Zarate. Adv. Nonlinear Stud. 11 (2011), no. 2, 323-360.
    33. Non-convex self-dual Lagrangians and variational principles for certain PDE’s. C.R. Acad. Sci., Paris, Ser. I 4349 7-8, (2011) 417-420.
    34. Stability under Gamma-convergence of least energy solutions for semilinear Elliptic problems in the whole R^N . SIAM J. Math. Anal. 43 (2011), no. 4, 1759-1786.
    35. Non-convex self-dual Lagrangians: New variational principles of symmetric boundary value problems. J. Func. Anal. 260 (2011) 2674-2715.
    36. Positive solutions for singular quasilinear Schr ̈dinger equations with one parameter (II). With D. Offin. J. Part. Diff. Eq. 23 (2010)No. 3, 222-234.
    37. Existence and concentration of solitary waves for a class of quasilinear Schrodinger equations. With J.M. do O and D. Cassani. Comm. Pure Appl. Anal. 9 (2010), no. 2, 281-306.
    38. Semi-classical states for quasilinear Schr ̈dinger equations arising in Plasma physics. With J. M. do ́o and U. Severo. Comm. Contemp. Math. 11 No. 4 (2009) 547-583.
    39. A variational principle associated with a certain class of boundary value problems. . Differential Integral Equations 23 (2010), no. 3-4, 253-264.
    40. Hamiltonian systems of PDEs and other evolution equations with self-dual boundary conditions. With N. Ghoussoub. Calc. Var. & PDE 36 (2009) 85-118.
    41. Anti-symmetric Hamiltonians (II): Variational resolutions for Navier Stokes and other nonlinear evolutions. With N. Ghoussoub. Ann. Inst. Henri Poincare Anal. Non Lin ́aire 26 (2009) 223-255.
    42. Solitary waves for quasilinear Schr ̈dinger equations arising in plasma physics. With J. M. do O. Adv. Non. Stu. 9 (2009), 479-497.
    43. Soliton solutions for quasilinear Schrodinger equations involving supercritical exponent in R^N. Comm. Pure Appl. Anal. 7 (2008), no. 1, 89-105.
    44. On the existence of Hamiltonian paths connecting Lagrangian submanifolds. With N. Ghoussoub. C. R. Math. Acad. Sci. Soc. R. Can. 30 (2008), no. 3, 64-83.
    45. On a class of periodic quasilinear Schr ̈dinger equations involving critical growth in R^2 . J. Math. Anal. Appl. 334 (2007) 775-786.
    46. Selfdual Variational Principles for Periodic Solutions of Hamiltonian and Other Dynamical Systems. With N. Ghoussoub. Comm. in PDE 32 (2007) 771-795.
    47. Blow-up and nonglobal solutions for a family of nonlinear higher-order evolution equations. With M. Hesaaraki and H. Assa. J. Mathematical Science and Information 1 (2006), 9-30.
    48. Existence of soliton solutions for a quasilinear Schr ̈dinger equation involving critical exponent in R^N . J. Differential Equations, 229 (2006), no. 2, 570-587.
    49. On the existence of standing wave solutions to quasilinear Schrodinger equations. . Nonlinearity, 19(2006), no 4, 937-957.
    50. Blow-up of positive solutions for a family of nonlinear parabolic equations in general domain in R^N. With M. Hesaaraki. Michigan Math. J. 52 (2004), no 2, 375-389.
    51. Global existence and comparison theorems for a nonlinear equation. With M. Hesaaraki. Bull. Austral. Math. Soc. 67 (2003) , no. 3, 481-492.