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Alex  Hernandez Ardila
Alex Hernandez Ardila
UFMG
Bestätigte E-Mail-Adresse bei impa.br
Titel
Zitiert von
Zitiert von
Jahr
Orbital stability of Gausson solutions to logarithmic Schrödinger equations
AH Ardila
Electronic Journal of Differential Equations, Vol. 2016 (2016) 335, 2016
422016
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
322017
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
172016
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
122018
Logarithmic NLS equation on star graphs: existence and stability of standing waves
AH Ardila
Differential and Integral Equations 30 (9/10), 735-762, 2017
112017
Some qualitative studies of the focusing inhomogeneous Gross-Pitaevskii equation
AH Ardila, VD Dinh
Z. Angew. Math. Phys. 71 (3), 2019
102019
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
72021
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), 101, 2021
72021
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
62020
STABILITY OF GROUND STATES FOR LOGARITHMIC SCHRÖDINGER EQUATION WITH A δ′-INTERACTION.
AH Ardila
Evolution Equations & Control Theory 6 (2), 155–175, 2017
62017
Logarithmic Bose-Einstein condensates with harmonic potential
AH Ardila, L Cely, M Squassina
Asymptotic Analysis 116 (1), 27-40, 2019
52019
Gausson dynamics for logarithmic Schrödinger equations
AH Ardila, M Squassina
Asymptotic Analysis 107 (3-4), 203-226, 2018
52018
Orbital stability of standing waves for supercritical NLS with potential on graphs
AH Ardila
Applicable Analysis 99 (8), 1359-1372, 2020
42020
Threshold scattering for the focusing NLS with a repulsive Dirac delta potential
AH Ardila, T Inui
Journal of Differential Equations 313, 54-84, 2022
22022
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
22021
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
22020
The cubic-quintic nonlinear Schr\" odinger equation with inverse-square potential
AH Ardila, J Murphy
arXiv preprint arXiv:2112.07079, 2021
12021
Existence and stability of a two-parameter family of solitary waves for a logarithmic NLS–KdV system
AH Ardila
Nonlinear Analysis, Theory, Methods and Applications 189 (111563), 2019
12019
Stability of standing waves for a nonlinear Schrödinger equation under an external magnetic field
AH Ardila
Communications on Pure & Applied Analysis 17 (1), 163, 2018
12018
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
2022
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