Shihong Zhang

activity

20212023

most citedMRF-PINN: A Multi-Receptive-Field convolutional physics-informed neural network for solving partial differential equations

2 citations · 4 across the 5 of their papers we have counts for

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math.AP2022

The moving plane method and the uniqueness of high order elliptic equation with GJMS operator

Shihong Zhang

In this paper, we study the following high order elliptic equation involving the GJMS operator: \begin{align*} αP_{\mathbb{S}^n}v_α+2Q_{g_{\mathbb{S}^n}}=2Q_{g_{\mathbb{S}^n}}e^{nv…

math.AP2021★ 1 cited

A Liouville type theorem of the linearly perturbed Paneitz equation on $S^{3}$

Shihong Zhang

We prove a Liouville type theorem for the linearly perturbed Paneitz equation: For $ε > 0$ small enough, if $u_{ε}$ is a positive smooth solution of $$P_{S^3} u_ε+εu_ε=-u_ε^{-7} \qquad…

The moving plane method and the uniqueness of high order elliptic equation with GJMS operator

A Liouville type theorem of the linearly perturbed Paneitz equation on S3

A Liouville type theorem of the linearly perturbed Paneitz equation on $S^{3}$