21 citations · 28 across the 6 of their papers we have counts for
6 papers
Normalized ground states for 3D dipolar Bose-Einstein condensate with attractive three-body interactions
Yongming Luo, Athanasios Stylianou
We study the existence of normalized ground states for the 3D dipolar Bose-Einstein condensate equation with attractive three-body interactions: \begin{align}\label{1} -Δu+βu+λ_1|u…
On 3d dipolar Bose-Einstein condensates involving quantum fluctuations and three-body interactions
Yongming Luo, Athanasios Stylianou
We study the following nonlocal mixed order Gross-Pitaevskii equation where i…
On the existence of symmetric minimizers
Athanasios Stylianou
In this note we revisit a less known symmetrization method for functions with respect to a topological group , which we call -averaging. We note that, although quite non-tech…
Ground states for a nonlocal cubic-quartic Gross-Pitaevskii equation
Yongming Luo, Athanasios Stylianou
We prove existence and qualitative properties of ground state solutions to a generalized nonlocal 3rd-4th order Gross-Pitaevskii equation. Using a mountain pass argument on spheres…
A free boundary approach to the Rosensweig instability of ferrofluids
Enea Parini, Athanasios Stylianou
We establish the existence of saddle points for a free boundary problem describing the two-dimensional free surface of a ferrofluid which undergoes normal field instability (also k…
Pattern formation on the free surface of a ferrofluid: spatial dynamics and homoclinic bifurcation
Mark D. Groves, David J. B. Lloyd, Athanasios Stylianou
We establish the existence of spatially localised one-dimensional free surfaces of a ferrofluid near onset of the Rosensweig instability, assuming a general (nonlinear) magnetisati…