21 citations · 28 across the 6 of their papers we have counts for
Showing 2018Show all
2 papers · 1 filter
math.AP2018
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…
math.AP2018★ 3 cited
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…