Eigenvalues for the Robin Laplacian in domains with variable curvature B Helffer, A Kachmar Transactions of the American Mathematical Society 369 (5), 3253-3287, 2017 | 54 | 2017 |
Nucleation of bulk superconductivity close to critical magnetic field S Fournais, A Kachmar Advances in Mathematics 226 (2), 1213-1258, 2011 | 44 | 2011 |
The ground state energy of the three dimensional Ginzburg-Landau functional Part I: Bulk regime S Fournais, A Kachmar Communications in Partial Differential Equations 38 (2), 339-383, 2013 | 43* | 2013 |
Tunneling for the Robin Laplacian in smooth planar domains B Helffer, A Kachmar, N Raymond Communications in Contemporary Mathematics 19 (01), 1650030, 2017 | 34 | 2017 |
Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint A Kachmar ESAIM: Control, Optimisation and Calculus of Variations 16 (3), 545-580, 2010 | 29 | 2010 |
On the ground state energy for a magnetic Schrödinger operator and the effect of the DeGennes boundary condition A Kachmar Journal of mathematical physics 47 (7), 2006 | 28 | 2006 |
On the ground state energy for a magnetic Schrödinger operator and the effect of the de Gennes boundary condition A Kachmar Comptes Rendus Mathematique 342 (9), 701-706, 2006 | 28 | 2006 |
The distribution of superconductivity near a magnetic barrier W Assaad, A Kachmar, M Persson-Sundqvist Communications in Mathematical Physics 366, 269-332, 2019 | 24 | 2019 |
Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint. II H Aydi, A Kachmar arXiv preprint arXiv:0807.1177, 2008 | 23 | 2008 |
On the perfect superconducting solution for a generalized Ginzburg–Landau equation A Kachmar Asymptotic Analysis 54 (3-4), 125-164, 2007 | 21 | 2007 |
The influence of magnetic steps on bulk superconductivity W Assaad, A Kachmar arXiv preprint arXiv:1511.08562, 2015 | 19 | 2015 |
The Ginzburg–Landau functional with vanishing magnetic field B Helffer, A Kachmar Archive for Rational Mechanics and Analysis 218, 55-122, 2015 | 19 | 2015 |
Weyl formulae for the Robin Laplacian in the semiclassical limit A Kachmar, P Keraval, N Raymond Confluentes Mathematici 8 (2), 39-57, 2016 | 18 | 2016 |
The ground state energy of the three-dimensional Ginzburg–Landau model in the mixed phase A Kachmar Journal of Functional Analysis 261 (11), 3328-3344, 2011 | 17 | 2011 |
Counterexample to strong diamagnetism for the magnetic Robin Laplacian A Kachmar, MP Sundqvist Mathematical Physics, Analysis and Geometry 23 (3), 27, 2020 | 16 | 2020 |
Tunneling effect induced by a curved magnetic edge S Fournais, B Helffer, A Kachmar arXiv preprint arXiv:2201.13423, 2022 | 15 | 2022 |
WEYL ASYMPTOTICS FOR MAGNETIC SCHRÖDINGER OPERATORS AND DE GENNES'BOUNDARY CONDITION A Kachmar Reviews in Mathematical Physics 20 (08), 901-932, 2008 | 15 | 2008 |
Oscillatory patterns in the Ginzburg-Landau model driven by the Aharonov-Bohm potential A Kachmar, XB Pan Journal of Functional Analysis 279 (10), 108718, 2020 | 14 | 2020 |
The density of superconductivity in domains with corners B Helffer, A Kachmar Letters in Mathematical Physics 108 (9), 2169-2187, 2018 | 14 | 2018 |
The Ginzburg--Landau Order Parameter near the Second Critical Field A Kachmar SIAM Journal on Mathematical Analysis 46 (1), 572-587, 2014 | 14 | 2014 |