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20152026
most citedAn N-barrier maximum principle for autonomous systems of species and its application to problems arising from population dynamics

3 citations · 7 across the 13 of their papers we have counts for

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math.AP2015

Remark on the N-barrier method for a class of autonomous elliptic systems

Li-Chang Hung

In this note, we aim to extend the previous work on an N-barrier maximum principle (\cite{hung2015n,hung2015maximum}) to a more general class of systems of two equations. Moreover,…

math.AP2015

Blow-up in reaction-diffusion systems under Robin boundary conditions

Li-Chang Hung

In this paper we apply the differential inequality technique of Payne {\it et. al} \cite{Payne&SchaeferRobin08} to show that a reaction-diffusion system admits blow-up solutions, a…

math.AP2015★ 1 cited

Stationary solutions to the Poisson-Nernst-Planck equations with steric effects

Li-Chang Hung, Mach Nguyet Minh

Ion transport, the movement of ions across a cellular membrane, plays a crucial role in a wide variety of biological processes and can be described by the Poisson-Nernst-Planck equ…

math.AP2015★ 2 cited

An N-barrier maximum principle for elliptic systems arising from the study of traveling waves in reaction-diffusion systems

Li-Chang Hung

By employing the N-barrier method developed in the paper, we establish a new N-barrier maximum principle for diffusive Lotka-Volterra systems of two competing species. As an applic…

math.AP2015★ 1 cited

A maximum principle for diffusive Lotka-Volterra systems of two competing species

Li-Chang Hung, Chiun-Chuan Chen

Using a new approach, we establish a maximum principle for diffusive Lotka-Volterra systems of two competing species. Under certain conditions we show this maximum principle leads…