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 | 217 | 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 | 120 | 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 | 88 | 2012 |
Rearrangement inequalities for functionals with monotone integrands A Burchard, H Hajaiej Journal of Functional Analysis 233 (2), 561-582, 2006 | 83 | 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 | 76 | 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 | 53 | 2013 |
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 | 34 | 2016 |
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 | 34 | 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 | 33 | 2005 |
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 | 26 | 2013 |
Symmetrization inequalities for composition operators of Carathéodory type H Hajaiej, CA Stuart Proceedings of the London Mathematical Society 87 (2), 396-418, 2003 | 26 | 2003 |
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, 297-314, 2005 | 25 | 2005 |
Multiple Solutions for a Class of Nonhomogeneous Fractional Schrödinger Equations in V Ambrosio, H Hajaiej Journal of Dynamics and Differential Equations 30, 1119-1143, 2018 | 22 | 2018 |
Symmetric ground state solutions of m-coupled nonlinear Schrödinger equations H Hajaiej Nonlinear Analysis: Theory, Methods & Applications 71 (10), 4696-4704, 2009 | 22 | 2009 |
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, 711-732, 2014 | 19 | 2014 |
On the bounds of the sum of eigenvalues for a Dirichlet problem involving mixed fractional Laplacians H Chen, M Bhakta, H Hajaiej Journal of Differential Equations 317, 1-31, 2022 | 17 | 2022 |
The Bahri–Coron theorem for fractional Yamabe-type problems W Abdelhedi, H Chtioui, H Hajaiej Advanced Nonlinear Studies 18 (2), 393-407, 2018 | 17 | 2018 |
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 | 17 | 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 | 17 | 2013 |
Exact controllability of structural acoustic interactions with variable coefficients Y Liu, B Bin-Mohsin, H Hajaiej, PF Yao, G Chen SIAM Journal on Control and Optimization 54 (4), 2132-2153, 2016 | 14 | 2016 |