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20152022
most citedNontrivial boundary structure in a Neumann problem on balls with radii tending to infinity

6 citations · 7 across the 4 of their papers we have counts for

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math.AP2022

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…

math.AP20196 cited

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…

math.AP2019

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…

math.AP2019

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…

math.AP2018

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…

math.AP20151 cited

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)…