Orbital stability of Gausson solutions to logarithmic Schrödinger equations AH Ardila Electronic Journal of Differential Equations, Vol. 2016 (2016) 335, 2016 | 51 | 2016 |
Existence and stability of standing waves for nonlinear fractional Schrödinger equation with logarithmic nonlinearity AH Ardila Nonlinear Analysis, Theory, Methods and Applications 155, 52-64, 2017 | 40 | 2017 |
Orbital stability of standing waves for a system of nonlinear Schr\"{o} dinger equations with three wave interaction AH Ardila Nonlinear Analysis, Theory, Methods and Applications 167 (1–20), 2018 | 19 | 2018 |
Stability of standing waves for logarithmic Schr\" odinger equation with attractive delta potential JA Pava, A Ardila Indiana University Mathematics Journal 2 (67), 471--494, 2016 | 19 | 2016 |
Blow-up solutions and strong instability of ground states for the inhomogeneous nonlinear Schrödinger equation. AH Ardila, M Cardoso Communications on Pure & Applied Analysis 20 (1), 2021 | 15 | 2021 |
Sharp conditions for scattering and blow-up for a system of NLS arising in optical materials with χ 3 nonlinear response AH Ardila, VD Dinh, L Forcella Communications in Partial Differential Equations 46 (11), 2134–2170, 2021 | 13 | 2021 |
Some qualitative studies of the focusing inhomogeneous Gross-Pitaevskii equation AH Ardila, VD Dinh Z. Angew. Math. Phys. 71 (3), 2019 | 12 | 2019 |
Logarithmic NLS equation on star graphs: existence and stability of standing waves AH Ardila Differential and Integral Equation 30 (9/10), 735-762, 2017 | 11 | 2017 |
Global dynamics below the ground states for NLS under partial harmonic confinement A Ardila, R Carles Communications in Mathematical Sciences 19 (4), 993 – 1032, 2020 | 10 | 2020 |
Threshold scattering for the focusing NLS with a repulsive Dirac delta potential AH Ardila, T Inui Journal of Differential Equations 313, 54-84, 2022 | 9 | 2022 |
INSTABILITY OF GROUND STATES FOR THE NLS EQUATION WITH POTENTIAL ON THE STAR GRAPH AH Ardila, L Cely, N Goloshchapova Journal of Evolution Equations 21 (4), 3703–3732, 2020 | 7 | 2020 |
Logarithmic Bose-Einstein condensates with harmonic potential AH Ardila, L Cely, M Squassina Asymptotic Analysis 116 (1), 27-40, 2019 | 7 | 2019 |
STABILITY OF GROUND STATES FOR LOGARITHMIC SCHRÖDINGER EQUATION WITH A δ′-INTERACTION. AH Ardila Evolution Equations & Control Theory 6 (2), 155–175, 2017 | 7 | 2017 |
Orbital stability of standing waves for supercritical NLS with potential on graphs AH Ardila Applicable Analysis 99 (8), 1359-1372, 2020 | 6 | 2020 |
Gausson dynamics for logarithmic Schrödinger equations AH Ardila, M Squassina Asymptotic Analysis 107 (3-4), 203-226, 2018 | 6 | 2018 |
Threshold solutions for the 3d cubic-quintic NLS AH Ardila, J Murphy Communications in Partial Differential Equations, 48 (5), pp. 819-862, 2022 | 4 | 2022 |
Global well-posedness, blow-up and stability of standing waves for supercritical NLS with rotation AH Ardila, H Hajaiej Journal of Dynamics and Differential Equations, 1-23, 2021 | 4 | 2021 |
Mass-energy threshold dynamics for the focusing NLS with a repulsive inverse-power potential AH Ardila, M Hamano, M Ikeda arXiv preprint arXiv:2202.11640, 2022 | 3 | 2022 |
The cubic-quintic nonlinear Schr\" odinger equation with inverse-square potential AH Ardila, J Murphy arXiv preprint arXiv:2112.07079, 2021 | 3 | 2021 |
Scattering of the energy-critical NLS with dipolar interaction AH Ardila arXiv preprint arXiv:2010.16354, 2020 | 3 | 2020 |