Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Jin, Sangdon"'
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-field model of white dwarfs \cite{LeLe}. In Jang and Seok \cite{JS}, fer
Externí odkaz:
http://arxiv.org/abs/2401.12493
Autor:
Jin, Sangdon, Kim, Seunghyeok
We investigate a novel connection between the weighted isoperimetric problems and the weighted Poisson integrals of the extension problems for nonlocal elliptic operators. We first derive sharp inequalities for the weighted Poisson integrals associat
Externí odkaz:
http://arxiv.org/abs/2310.09160
Autor:
Jin, Sangdon, Kim, Seunghyeok
In this paper, we address the solvability of the critical Lane-Emden system \[\begin{cases} -\Delta u=|v|^{p-1}v &\mbox{in } \Omega_\epsilon,\\ -\Delta v=|u|^{q-1}u &\mbox{in } \Omega_\epsilon,\\ u=v=0 &\mbox{on } \partial \Omega_\epsilon, \end{cases
Externí odkaz:
http://arxiv.org/abs/2210.13068
Autor:
Hong, Younghun, Jin, Sangdon
The Vlasov-Schr\"odinger-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/1D quantum steady states in a bounded domain as generalized free en
Externí odkaz:
http://arxiv.org/abs/2210.08686
Autor:
Hong, Younghun, Jin, Sangdon
We consider the 3D cubic nonlinear Schr\"odinger equation (NLS) with a strong toroidal trap. In the first part, we show that as the confinement is strengthened, a large class of global solutions to the time-dependent model can be described by 1D flow
Externí odkaz:
http://arxiv.org/abs/2204.12328
Autor:
Jin, Sangdon, Seok, Jinmyoung
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-Gordon equations under the decomposition of waves functions into posit
Externí odkaz:
http://arxiv.org/abs/2112.10462
Autor:
Jin, Sangdon, Hong, Younghun
We consider the 3d cubic nonlinear Schr\"odinger equation (NLS) with a strong 2d harmonic potential. The model is physically relevant to observe the lower-dimensional dynamics of the Bose-Einstein condensate, but its ground state cannot be constructe
Externí odkaz:
http://arxiv.org/abs/2107.05185
Autor:
Jin, Sangdon, Hong, Younghun
For the one-dimensional mass-critical/supercritical pseudo-relativistic nonlinear Schrodinger equation, a stationary solution can be constructed as an energy minimizer under an additional kinetic energy constraint and the set of energy minimizers is
Externí odkaz:
http://arxiv.org/abs/2107.05182
Autor:
Jin, Sangdon
In this article, we are interested in multi-bump solutions of the singularly perturbed problem \begin{equation*} -\epsilon^2\Delta v+V(x)v=f(v) \ \ \mbox{ in }\ \ \R^N. \end{equation*} Extending previous results \cite{B, DLY,W1}, we prove the existen
Externí odkaz:
http://arxiv.org/abs/2012.00275
Autor:
Jin, Sangdon, Seok, Jinmyoung
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 existence or multiplicity of positive solutions depends on the choices of
Externí odkaz:
http://arxiv.org/abs/2012.00273