16 citations · 62 across the 39 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.…
Privileged Coordinates and Nilpotent Approximation of Carnot Manifolds, I. General Results
Woocheol Choi, Raphael Ponge
In this paper we attempt to give a systematic account on privileged coordinates and the nilpotent approximation of Carnot manifolds. By a Carnot manifold it is meant a manifold wit…
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…
Privileged Coordinates and Nilpotent Approximation for Carnot Manifolds, II. Carnot Coordinates
Raphael Ponge, Woocheol Choi
This paper is a sequel of arxiv:1709.09045 and deals with privileged coordinates and nilpotent approximation of Carnot manifolds. By a Carnot manifold it is meant a manifold equipp…