4 papers
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…
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…