1 citations · 1 across the 9 of their papers we have counts for
9 papers
Semiclassical equivalence of two white dwarf models as ground states of the relativistic Hartree-Fock and Vlasov-Poisson energies
Younghun Hong, Sangdon Jin, Jinmyoung Seok
We are concerned with the semi-classical limit for ground states of the relativistic Hartree-Fock energies (HF) under a mass constraint, which are considered as the quantum mean-fi…
Coron's problem for the critical Lane-Emden system
Sangdon Jin, Seunghyeok Kim
In this paper, we address the solvability of the critical Lane-Emden system \[\begin{cases} -Δu=|v|^{p-1}v &\mbox{in } Ω_ε,\\ -Δv=|u|^{q-1}u &\mbox{in } Ω_ε,\\ u=v=0 &\mbox{on } \p…
On steady states for the Vlasov-Schrödinger-Poisson system
Younghun Hong, Sangdon Jin
The Vlasov-Schrödinger-Poisson system is a kinetic-quantum hybrid model describing quasi-lower dimensional electron gases. For this system, we construct a large class of 2D kinetic…
On the nonlinear Schrödinger equation with a toroidal trap in the strong confinement regime
Younghun Hong, Sangdon Jin
We consider the 3D cubic nonlinear Schrödinger equation (NLS) with a strong toroidal trap. In the first part, we show that as the confinement is strengthened, a large class of glob…
Solitary waves for the nonlinear Schrödinger-Poisson system with positron-electron interaction
Sangdon Jin, Jinmyoung Seok
In this paper, we study the existence of positive solutions to the nonlinear elliptic system, which is derived from taking the nonrelativistic limit of the nonlinear Maxwell-Klein-…
Uniqueness and orbital stability of standing waves for the nonlinear Schrodinger equation with a partial confinement
Sangdon Jin, Younghun Hong
We consider the 3d cubic nonlinear Schrödinger equation (NLS) with a strong 2d harmonic potential. The model is physically relevant to observe the lower-dimensional dynamics of the…
Orbital stability for the mass-critical and supercritical pseudo-relativistic nonlinear Schrodinger equation
Sangdon Jin, Younghun Hong
For the one-dimensional mass-critical/supercritical pseudo-relativistic nonlinear Schrodinger equation, a stationary solution can be constructed as an energy minimizer under an add…
Multi-bump standing waves for nonlinear Schrodinger equations with a general nonlinearity: the topological effect of potential wells
Sangdon Jin
In this article, we are interested in multi-bump solutions of the singularly perturbed problem \begin{equation*} -ε^2Δv+V(x)v=f(v) \ \ \mbox{ in }\ \ \R^N. \end{equation*} Extendin…
Nonrelativistic limit of solitary waves for nonlinear Maxwell-Klein-Gordon equations
Sangdon Jin, Jinmyoung Seok
We study the nonrelativistic limit of solitary waves from Nonlinear Maxwell-Klein-Gordon equations (NMKG) to Nonlinear Schrodinger-Poisson equations (NSP). It is known that the exi…