National Chung Cheng University

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19922026

most citedSecurity and privacy for 6G: A survey on prospective technologies and challenges

509 citations

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7 papers · 1 filter

math.AP2017

Existence and Instability of Traveling Pulses of Keller-Segel System with Nonlinear Chemical Gradients and Small Diffusions

Chueh-Hsin Chang, Yu-Shuo Chen, John M. Hong +1

In this paper, we consider a generalized model of $2 \times 2$ Keller-Segel system with nonlinear chemical gradient and small cell diffusion. The existence of the traveling pulses f…

math.AP2015

An Inverse Uniqueness in Interior Transmission Problem and Its Eigenvalue Tunneling in Penetrable Simple Domains

Lung-Hui Chen

We study an inverse uniqueness with a knowledge of spectral data in the interior transmission problem defined by an index of refraction in a simple domain. We expand the solution i…

math.AP2012

Exact decay rate of a nonlinear elliptic equation related to the Yamabe flow

Shu-Yu Hsu

Let 0<m<(n-2)/n, n>2, $α = (2 β + ρ) / (1 - m)$ and $β > m ρ / (n - 2 - mn)$ for some constant $ρ > 0$ . Suppose v is a radially symmetric symmetric solution of $\frac{n - 1}{m} Δ v^{m} + α v + β x \cdot \nabla v = 0$ …

math.AP2012★ 1 cited

Some properties of the Yamabe soliton and the related nonlinear elliptic equation

Shu-Yu Hsu

We will prove the non-existence of positive radially symmetric solution of the nonlinear elliptic equation $\frac{n - 1}{m} Δ v^{m} + α v + β x \cdot \nabla u = 0$ in $R^{n}$ when $n \geq 3$ , $0<m\le\…

math.AP2011

Existence and asymptotic behaviour of solutions of the very fast diffusion equation

Shu-Yu Hsu

Let n>2, $0 < m \leq (n - 2) / n$ , p>\max(1,(1-m)n/2), and $0 \leq u_{0} \in L_{l oc}^{p} (R^{n})$ satisfy $lim inf_{R \to \infty} R^{- n + \frac{2}{1 - m}} \int_{∣ x ∣ \leq R} u_{0} d x = \infty$ . We prove the existe…

math.AP2007

Removable singularity of the polyharmonic equation

Shu-Yu Hsu

Let $x_{0} \in Ω \subset R^{n}$ , $n \geq 2$ , be a domain and let $m \geq 2$ . We will prove that a solution $u$ of the polyharmonic equation $Δ^{m} u = 0$ in $Ω ∖ {x_{0}}$ has a removabl…