4 papers
Refined boundary layer asymptotics for elliptic equations with multiplicative nonlocal effects
Chiun-Chang Lee, Sang-Hyuck Moon, Wen Yang
We investigate singularly perturbed elliptic problems with multiplicative nonlocal diffusion terms subject to Robin boundary conditions. The diffusion depends on a global quantity…
Existence results for a non-relativistic Chern-Simons model with purely mutual interaction
Aleks Jevnikar, Sang-Hyuck Moon
We are concerned with a skew-symmetric singular Liouville system arising in non-relativistic Chern-Simons theory. Based on its variational structure, we establish existence and mul…
Critical sinh-Gordon flow with non-negative weight functions
Qiang Fei, Aleks Jevnikar, Sang-Hyuck Moon
The aim of this article is twofold: one one side we introduce and study the properties of a critical sinh-Gordon type flow \begin{equation*} {\frac{\partial}{\partial t}}e^u=Î_gu+…
Emergence of peaked singularities in the Euler-Poisson system
Junsik Bae, Sang-Hyuck Moon, Kwan Woo
We consider the one-dimensional Euler-Poisson system equipped with the Boltzmann relation and provide the exact asymptotic behavior of the peaked solitary wave solutions near the p…