2 citations · 8 across the 12 of their papers we have counts for
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math.AP2021
Gradient estimates for electric fields with multi-scale inclusions in the quasi-static regime
Youjun Deng, Xiaoping Fang, Hongyu Liu
In this paper, we are concerned with the gradient estimate of the electric field due to two nearly touching dielectric inclusions, which is a central topic in the theory of composi…
physics.optics2021★ 2 cited
Geometrical and topological properties of transmission resonance and artificial mirage
Youjun Deng, Hongyu Liu, Xianchao Wang +1
Transmission eigenfunctions are certain interior resonant modes that are of central importance to the wave scattering theory. In this paper, we present the discovery of novel globa…
math.AP2021★ 2 cited
On new surface-localized transmission eigenmodes
Youjun Deng, Yan Jiang, Hongyu Liu +1
Consider the transmission eigenvalue problem \[ (Δ+k^2\mathbf{n}^2) w=0,\ \ (Δ+k^2)v=0\ \ \mbox{in}\ \ Ω;\quad w=v,\ \ \partial_νw=\partial_νv=0\ \ \mbox{on} \ \partialΩ. \] It is…