1- Symmetrization inequalities for composition operators of Carathéodory type,**Proc. London. Math. Soc**., 87(2003), 396-418. (with C. A. Stuart). |

2- Extensions of the Hardy-Littlewood inequalities for Schwarz symmetrization,**International Journal of Mathematics and Mathematical Sciences**, 59(2004), 3129-3150. (with C. A. Stuart). |

3- Existence and non-existence of Schwarz symmetric ground states for elliptic eigenvalue problems, **Annali de Matematica Pura ed Applicata**, Volume 184, Number 3, (2005), 297 -314. (with C.A.Stuart). |

4- On the variational approach to the stability of standing waves for the nonlinear Schrödinger equation, **Adv Nonlinear Studies**, 4 (2004), 469-501. (with C.A Stuart). |

5- Cases of equality and strict inequality in the extended Hardy-Littlewood inequalities, **Proc. Royal. Soc. Edinburgh**, 135 A, (2005), 643-661. |

6- Extended Hardy-Littlewood inequalities and some applications, **Trans. Amer. Math. Soc**., vol. 357, no. 12, (2005) pp. 4885-4896. |

7- Rearrangement inequalities for functionals with monotone integrals,** Journal of Functional Analysis**, 233, (2006), 561-582. (with A. Burchard). |

8- Uniqueness and Characterization of the maximizers of some integral functionals, **Adv Nonlinear Studies** 9, (2009), 215-226. (with C. Draghici). |

9- Symmetric ground states solutions of m-coupled nonlinear Schrödinger equations, **Nonlinear Analysis: Methods, Theory and Applications**, Vol 71, 2, (2009). |

10- Explicit approximation to symmetrization via iterated polarizations, **Journal of Convex Analysis**, Vol 17, N2, (2010). |

11- Balls are the maximizers of the Riesz type integrals with supermodular integrands, **Annali de Matematica Pura ed Applicata**, Volume 189, Issue 3 (2010), 395-403. |

12- Rearrangement Inequalities in the Discrete setting and some Applications,**Nonlinear Analysis: Theory Methods and Applications** 59 (2010), 1140-1148. |

13- On the necessity of the assumptions used to prove generalized Hardy-Littlewood and Riesz type rearrangement inequalities, **Archiv der Matematik** vol 96, Number 3, 273-280, 2011. |

14- Fractional Gagliardo-Nirenberg and Hardy Inequalities under Lorentz Norms.Accepted for publication in Journal of Mathematical Analysis and Applications. (with Z. Zhichcun and X. Yu), **J. Math. Anal. Appl**. 396(2), 569-577 2012. |

15- On Schrödinger Systems Arising in Nonlinear Optics And Quantum Mechanics – Part I, **MA3S**,
vol 22, issue 7, 1-27, 2012. |

16- On Schrödinger Systems Arising in Nonlinear Optics And Quantum Mechanics – Part II, **Nonlinearity** 26, Number 4, 2013. |

17- Quantitative stability estimates of the Hardy-Littlewood functional under constraints, **Journal of Nonlinear and Convex Analysis**, Vol. 13, number 2, 273-279, 2012. |

18- A weak-strong convergence property and symmetry of minimizers of constrained variational problems in RN. **Journal of Mathematical Analysis and Application**. Vol 389, Number 2 915-931, 2012. (with S. Kroemer). |

19- Existence and uniqueness of maximizers of a class of functionals under constraints: Optimal conditions. **Journal of Inequalities and Applications** 2012 Issue 1. |

20- Characterization of maximizers via mass transportation techniques,** Journal of Optimization Theory and Applications**. Vol. 155, N 2, November2012. |

21- Orbital stability of l-Coupled nonlinear Schrodinger equations,**Communications in Contemporary Mathematics**, Volume 14, Issue 06, December 2012. |

22- Necessary and sufficient conditions for the fractional Gargliardo-Nirenberg inequalities and applications to Navier-Stokes and generalized boson equations,**RIMS Kokyuroku Bessatsu**, B26 (2011), 159-199. (with L. Molinet, T. Ozawa, B. Wang). |

23- Existence of minimizers of functional involving the fractional gradient in the absence of compactness, symmetry and monotonicit, **Journal of Mathematical Analysis and Applications**, Vol. 399, No. 1. (March 2013), pp. 17-26. |

24- On the optimality of the conditions used to prove the symmetry of the minimizers of some fractional constrained variational problems, **Annales de l’Institut Henri Poincare**, Volume 14, Issue 5 (2013), Pages 1425-1433. |

25- On the Cauchy problem of fractional Schrodinger equation with hartree type nonlinearity, **Funkcialaj Ekvacioj **of volume 56 no 2 2013, p. 193-224. (with Y. Cho, G. Hwang and T. Ozawa). |

26- Characterization of the orbit of Standing waves of Hartree type equations with external Coulomb Potential, **Asymtotic Analysis**,
87 (2014) 57-64. |

27- On the Xfel Schr¨odinger equation: Highly oscillatory magnetic potentials and time averaging, **Archive for Rational Mechanics and Analysis**, Volume 211,
Issue 3, pp 711-732 (2014), ( with P. Antonelli, A. Athanoulissis and P. Markowich) |

28- On the orbital stability of fractional Schrödinger equations, accepted in **Communications in Pure and Applied Anlysis** (CPAA), (with Y. Cho, G. Hwang and T. Ozawa). |

29- Multi-Configuration Hartree Fock Theory for Pseudorelativistic systems: The Time Dependent Case, Vol 24, N 3 (2014), 599-626, **Mathematical Models and**
**Methods in Applied Sciences** (with S. Trabelsi and P. Markowich).. |

30- Existence of Minimizers of a Class of Constrained Vectorial Variational Problems, **Milan Journal of Mathematics**, Volume 82, Issue 1(2014) Page 81-98. (with S. Trabelsi, P. Markowich). |

31- Symmetry of minimizers of some fractional problems,** Accepted in Applicable Analysis**. |

32- Orbital Stability of Standing Waves of Two-Component Bose-Einstein condensates with internal Atomic Josephson Junnction. **Accepted in Journal of**
**Mathematical Analysis and Applications** |

33- Variational Appraoch to the orbital Stability of Standing Waves in Bose-Einstein Condensates, **Accepted in Milan Journal of Mathematics** (with F. Hadj Selem, P Markowich S. Trabelsi). |

34- Sharp embedding of Sobolev Spaces Involving General kernels and its application **Accepted in Annales Henri Poincaré**. |

35- On the global Cauchy problem for non-linear Schrodinger equation with magnetic potential, **Preprint **(with N Boussaid, S. Ibrahim, L. Michel). |

36- On a new class of functional problems, Preprint. |

37- Existence of Minimizers of a Class of Constrained Vectorial Variational Problems, Part 2, **Preprint.** (with P . Markowich, S. Trabelsi). |

38- A complete study of the lack of compactness and existence results of a Fractional Nirenberg Equation via a flatness hypothesis: Part I |

39- A complete study of the lack of compactness and existence results of a Fractional Nirenberg Equation via a flatness hypothesis: Part II |

40- On the spin of Bose Einstein condensate in the presence of Ioffe-Pritchard Magnetic field, **Preprint**. |

41- Existence, Uniqueness and Non-Existence of solutions for semilinear Elliptic equation involving measures concentrated on the boundaries, **Preprint** (with H.Chen). |

42- Open FOAM computation of interacting wind turbine flows and control (I): free rotating case, **Preprint** (with G. Chen C. Gu, Philip J. Morris, Eric G. Paterson, A. Sergeev). |

43- Orbital stability of standing waves of a class of fractional Schr¨odinger equations with general Hartree-type integrand, **Preprint** (with Y Cho, M.M Fall, S. Trabelsi, P. Markowich). |

44- Complementary study of the standing wave solutions of the Gross-Pitaevskii equation in dipolar quantum gases (with R. Carles). |

45- On a class of semilinear fractional elliptic equations involving outside Dirac data ( with H. Chen and Y. Wang). |

46- Existence, Non-existence, Uniqueness of solutions for semilinear elliptic equations involving measures concentrated on boundary ( with H. Chen) |

47- Boundary blow-up solutions to fractional elliptic equations in a measure framework ( with H. Chen and Y. Wang). |