11 citations · 28 across the 12 of their papers we have counts for
12 papers
Multiplicity and solution construction in linear elliptic problems with nonlocal nonlinearities
Chiun-Chang Lee
This work investigates linear elliptic equations with multiple nonlocal nonlinearities in a bounded domain, which takes the form \begin{equation*} -\nabla\cdot(\od\nabla u) +λfu= η…
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…
An existence theorem for elliptic equations with nonlocal boundary conditions
Chiun-Chang Lee
The focus of this study is on exploring some qualitative properties of solutions to a class of semilinear elliptic problems in bounded domains, where the boundary conditions depend…
A non-existence result for a nonlinear Neumann problem
Chiun-Chang Lee
In this note we consider a semilinear elliptic equation in with the nonlinear boundary condition, where is a ball of radius . Under certain conditions, we establish…
On the uniqueness of linear convection--diffusion equations with integral boundary conditions
Chiun-Chang Lee, Masashi Mizuno, Sang-Hyuck Moon
This work contributes to an understanding of the domain size's effect on the existence and uniqueness of the linear convection--diffusion equation with integral-type boundary condi…
Near- and far-field expansions for stationary solutions of Poisson--Nernst--Planck equations
Jhih-Hong Lyu, Chiun-Chang Lee, Tai-Chia Lin
This work is concerned with the stationary Poisson--Nernst--Planck equation with a large parameter which describes a huge number of ions occupying an electrolytic region. Firstly,…
Nontrivial boundary structure in a Neumann problem on balls with radii tending to infinity
Chiun-Chang Lee
This note introduces a class of nonlinear Neumann problems on balls expanding with the radii tending towards infinity. Performing singular perturbation arguments, we establish the…
Boundary-layer profile of a singularly perturbed non-local semi-linear problem arising in chemotaxis
Chiun-Chang Lee, Zhian Wang, Wen Yang
This paper is concerned with the following singularly perturbed non-local semi-linear problem \begin{equation} \label{h} \tag{} \begin{cases} \varepsilon^2 Δu=\frac{m}{\int_Ω…
Semi-classical analysis with new Galilean transformations for a Gross--Pitaevskii system with non-zero conditions at infinity
Qi Gao, Chiun-Chang Lee, Tai-Chia Lin
Recently, a rich variety of the micro-phenomena of the superfluid passing an obstacle has been observed in the binary mixture of rotating Bose--Einstein condensates (BECs). Among s…
Domain-size effects on boundary layers of a nonlocal sinh-Gordon equation
Chiun-Chang Lee
This work investigates a nonlocal sinh-Gordon equation with a singularly perturbed parameter in a ball. Under the Robin boundary condition, the solution asymptotically forms a quit…
Thin layer analysis of a non-local model for the double layer structure
Chiun-Chang Lee
For the structure of the thin electrical double layer~(EDL) and the property related to the EDL capacitance, we analyze boundary layer solutions (corresponding to the electrostatic…
Boundary Layer Solutions of Charge Conserving Poisson-Boltzmann Equations: One-Dimensional Case
Chiun-Chang Lee, Hijin Lee, YunKyong Hyon +2
For multispecies ions, we study boundary layer solutions of charge conserving Poisson-Boltzmann (CCPB) equations [50] (with a small parameter ǫ) over a finite one-dimensional (1D)…