Alex H. Ardila

activity

20162026

most citedExistence and stability of standing waves for nonlinear fractional Schrödinger equation with logarithmic nonlinearity

45 citations · 148 across the 22 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.AP2026

Soliton Dynamics for the Cubic-Quintic Nonlinear Schrödinger Equation with a Potential

Alex H. Ardila, Rémi Carles

We study the semiclassical dynamics of solitary waves for the three-dimensional cubic--quintic nonlinear Schrödinger equation with an external potential. For initial data given by…

math.AP2026

Blow-up or grow-up for the focusing 3D cubic NLS with a repulsive inverse-power potential at the mass--energy threshold

Alex H. Ardila, Zuyu Ma, Ying Wang

We consider the focusing cubic nonlinear Schrodinger equation with a repulsive inverse-power potential $V (x) = a ∣ x ∣^{- μ}$ , where $a > 0$ and $1 < μ \leq 2$ . At the mass-energy threshold,…

math.AP2026

Threshold dynamics for the 4 $d$ mass-energy double critical NLS

Alex H. Ardila, Zuyu Ma, Jason Murphy +1

We consider the 4 $d$ mass-energy double critical NLS \[ (i\partial_t+Δ)u = -|u|^2 u + |u| u. \] In Luo (2024) and Cheng--Miao--Zhao (2016), the authors established a scattering/blo…

Soliton Dynamics for the Cubic-Quintic Nonlinear Schrödinger Equation with a Potential

Blow-up or grow-up for the focusing 3D cubic NLS with a repulsive inverse-power potential at the mass--energy threshold

Threshold dynamics for the 4d mass-energy double critical NLS

Threshold dynamics for the 4 $d$ mass-energy double critical NLS