Hichem Hajaiej
Hichem Hajaiej
New York University/ Shanghai
Verified email at nyu.edu - Homepage
TitleCited byYear
Sufficient and necessary conditions for the fractional Gagliardo-Nirenberg inequalities and applications to Navier-Stokes and generalized Boson equations
H Hajaiej, L Molinet, T Ozawa, B Wang
arXiv preprint arXiv:1004.4287, 2010
1262010
On the Cauchy problem of fractional Schrödinger equation with Hartree type nonlinearity
Y Cho, H Hajaiej, G Hwang, T Ozawa
Funkcialaj Ekvacioj 56 (2), 193-224, 2013
692013
Rearrangement inequalities for functionals with monotone integrands
A Burchard, H Hajaiej
Journal of Functional Analysis 233 (2), 561-582, 2006
572006
Fractional Gagliardo–Nirenberg and hardy inequalities under Lorentz norms
H Hajaiej, X Yu, Z Zhai
Journal of Mathematical Analysis and Applications 396 (2), 569-577, 2012
412012
On the orbital stability of fractional Schr\"{o} dinger equations
Y Cho, G Hwang, H Hajaiej, T Ozawa
arXiv preprint arXiv:1302.2719, 2013
322013
On the variational approach to the stability of standing waves for the nonlinear Schrödinger equation
H Hajaiej, CA Stuart
Adv. Nonlinear Stud 4 (4), 469-501, 2004
292004
Cases of equality and strict inequality in the extended Hardy–Littlewood inequalities
H Hajaiej
Proceedings of the Royal Society of Edinburgh Section A: Mathematics 135 (3 …, 2005
212005
Existence of minimizers of functionals involving the fractional gradient in the absence of compactness, symmetry and monotonicity
H Hajaiej
Journal of Mathematical Analysis and Applications 399 (1), 17-26, 2013
202013
Symmetric ground state solutions of m-coupled nonlinear Schrödinger equations
H Hajaiej
Nonlinear Analysis: Theory, Methods & Applications 71 (10), 4696-4704, 2009
192009
Existence and non-existence of Schwarz symmetric ground states for elliptic eigenvalue problems
H Hajaiej, CA Stuart
Annali di Matematica Pura ed Applicata (1923-) 184 (3), 297-314, 2005
182005
Symmetrization inequalities for composition operators of Carathéodory type
H Hajaiej, CA Stuart
Proceedings of the London Mathematical Society 87 (2), 396-418, 2003
152003
Multiple Solutions for a Class of Nonhomogeneous Fractional Schrödinger Equations in
V Ambrosio, H Hajaiej
Journal of Dynamics and Differential Equations 30 (3), 1119-1143, 2018
132018
A complete study of the lack of compactness and existence results of a fractional Nirenberg equation via a flatness hypothesis, I
W Abdelhedi, H Chtioui, H Hajaiej
Analysis & PDE 9 (6), 1285-1315, 2016
132016
Complementary study of the standing wave solutions of the Gross–Pitaevskii equation in dipolar quantum gases
R Carles, H Hajaiej
Bulletin of the London Mathematical Society 47 (3), 509-518, 2015
112015
Schrödinger systems arising in nonlinear optics and quantum mechanics: part I
H HAJAIEJ
Mathematical Models and Methods in Applied Sciences 22 (07), 1250010, 2012
112012
Generalized Polya-Szego inequality and applications to some quasi-linear elliptic problems
H Hajaiej, M Squassina
arXiv preprint arXiv:0903.3975, 2009
102009
On the optimality of the assumptions used to prove the existence and symmetry of minimizers of some fractional constrained variational problems
H Hajaiej
Annales Henri Poincaré, 1-9, 2013
82013
On the XFEL Schrödinger equation: Highly oscillatory magnetic potentials and time averaging
P Antonelli, A Athanassoulis, H Hajaiej, P Markowich
Archive for Rational Mechanics and Analysis 211 (3), 711-732, 2014
72014
Extended Hardy-Littlewood inequalities and some applications
H Hajaiej
Transactions of the American Mathematical Society, 4885-4896, 2005
72005
Extensions of the Hardy-Littlewood inequalities for Schwarz symmetrization
H Hajaiej, CA Stuart
International Journal of Mathematics and Mathematical Sciences 2004 (59 …, 2004
72004
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Articles 1–20