5 citations · 23 across the 15 of their papers we have counts for
4 papers · 1 filter
Uniqueness and symmetry of ground states for higher-order equations
Woocheol Choi, Younghun Hong, Jinmyoung Seok
We establish uniqueness and radial symmetry of ground states for higher-order nonlinear Schrödinger and Hartree equations whose higher-order differentials have small coefficients.…
Nonlinear Choquard equations: doubly critical case
Jinmyoung Seok
Consider nonlinear Choquard equations \begin{equation*} \left\{\begin{array}{rcl} -Δu +u & = &(I_α*F(u))F'(u) \quad \text{in } \mathbb{R}^N, \\ \lim_{x \to \infty}u(x) & = &0, \end…
On critical and supercritical pseudo-relativistic nonlinear Schrödinger equations
Woocheol Choi, Younghun Hong, Jinmyoung Seok
In this paper, we investigate existence and non-existence of a nontrivial solution to the pseudo-relativistic nonlinear Schrödinger equation $$\left( \sqrt{-c^2Δ+ m^2 c^4}-mc^2\rig…
Limit profiles and uniqueness of ground states to the nonlinear Choquard equations
Jinmyoung Seok
Consider nonlinear Choquard equations \begin{equation*} \left\{\begin{array}{rcl} -Δu +u & = &(I_α*|u|^p)|u|^{p-2}u \quad \text{in } \mathbb{R}^N, \\ \lim_{x \to \infty}u(x) & = &0…