Hichem Hajaiej
Hichem Hajaiej
New York University/ Shanghai
Verified email at - Homepage
Cited by
Cited by
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
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
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
Rearrangement inequalities for functionals with monotone integrands
A Burchard, H Hajaiej
Journal of Functional Analysis 233 (2), 561-582, 2006
On the variational approach to the stability of standing waves for the nonlinear Schrödinger equation
H Hajaiej, CA Stuart
Advanced nonlinear studies 4 (4), 469-501, 2004
On the orbital stability of fractional Schr\"{o} dinger equations
Y Cho, G Hwang, H Hajaiej, T Ozawa
arXiv preprint arXiv:1302.2719, 2013
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
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
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
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
Symmetric ground state solutions of m-coupled nonlinear Schrödinger equations
H Hajaiej
Nonlinear Analysis: Theory, Methods & Applications 71 (10), 4696-4704, 2009
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
Symmetrization inequalities for composition operators of Carathéodory type
H Hajaiej, CA Stuart
Proceedings of the London Mathematical Society 87 (2), 396-418, 2003
Multiple Solutions for a Class of Nonhomogeneous Fractional Schrödinger Equations in R N
V Ambrosio, H Hajaiej
Journal of Dynamics and Differential Equations 30 (3), 1119-1143, 2018
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
Orbital stability of standing waves of a class of fractional Schrödinger equations with Hartree-type nonlinearity
Y Cho, MM Fall, H Hajaiej, PA Markowich, S Trabelsi
Analysis and Applications 15 (05), 699-729, 2017
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 5 (14), 1425-1433, 2013
The Bahri–Coron theorem for fractional Yamabe-type problems
W Abdelhedi, H Chtioui, H Hajaiej
Advanced Nonlinear Studies 18 (2), 393-407, 2018
Orbital stability of standing waves of a class of fractional Schrodinger equations with a general Hartree-type integrand
Y Cho, MM Fall, H Hajaiej, PA Markowich, S Trabelsi
arXiv preprint arXiv:1307.5523, 2013
Schrödinger systems arising in nonlinear optics and quantum mechanics: Part I
Mathematical Models and Methods in Applied Sciences 22 (07), 1250010, 2012
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