Zobrazeno 1 - 10
of 2 285
pro vyhledávání: '"ZHANG Shihong"'
Autor:
Chen, Xuezhang, Zhang, Shihong
We introduce the notion of a biharmonic Poisson kernel associated with certain pair of conformal boundary operators and present its explicit formula. With this powerful tool, we next establish the classification theorems of nonnegative solutions to a
Externí odkaz:
http://arxiv.org/abs/2406.10489
Autor:
Chen, Xuezhang, Zhang, Shihong
We establish a fourth order sharp Sobolev trace inequality on three-balls, and its equivalence to a third order sharp Sobolev inequality on two-spheres.
Comment: 29 pages. Comments are welcome!
Comment: 29 pages. Comments are welcome!
Externí odkaz:
http://arxiv.org/abs/2403.00380
Constrained Moser-Trudinger-Onofri inequality and a uniqueness criterion for the mean field equation
Autor:
Chen, Xuezhang, Zhang, Shihong
We establish Moser-Trudinger-Onofri inequalities under constraint of a deviation of the second order moments from $0$, which serves as an intermediate one between Chang-Hang's inequalities under first and second order moments constraints. A threshold
Externí odkaz:
http://arxiv.org/abs/2309.04706
Autor:
Xu, Yiyan, Zhang, Shihong
In this paper, we investigate the rigidity of Q-curvature. Specifically, we consider a closed, oriented $n$-dimensional ($n\geq6$) Riemannian manifold $(M,g)$ and prove the following results under the condition $\int_{M} \nabla R\cdot\nabla \mathrm{Q
Externí odkaz:
http://arxiv.org/abs/2308.02777
Compared with conventional numerical approaches to solving partial differential equations (PDEs), physics-informed neural networks (PINN) have manifested the capability to save development effort and computational cost, especially in scenarios of rec
Externí odkaz:
http://arxiv.org/abs/2209.03151
Autor:
Zhang, Shihong
For equation \begin{align*} \alpha P_{\mathbb{S}^n}v_{\alpha}+2Q_{g_{\mathbb{S}^n}}=2Q_{g_{\mathbb{S}^n}}e^{nv_{\alpha}}, \end{align*} we have proved that: (1) suppose $\alpha>1$ and $n\geq3$ or $\alpha\in (1-\epsilon_0, 1)$ and $n=2m\geq4$, then $v_
Externí odkaz:
http://arxiv.org/abs/2208.13119
Autor:
Li, Junting, Zhang, Han, Sun, Jiatong, Yang, Haochen, Xiang, Jiatao, Zhang, Xiong, Zhang, Shihong
Publikováno v:
In Applied Surface Science 30 January 2025 680
Publikováno v:
In Surface & Coatings Technology 15 January 2025 496
Autor:
Wu, Chengzhe, Wu, Xuelian, Ding, Jianxiang, Ding, Kuankuan, Zhang, Peigen, Ma, Chengjian, Hu, Demin, Liu, Dongming, Zhang, Shihong, Zheng, Wei, Pan, Long, Sun, ZhengMing
Publikováno v:
In Scripta Materialia 15 January 2025 255
Autor:
Zhang, Shihong
In this paper, we propose a sharp and quantitative criterion, which focuses solely on $Q$ curvature, to demonstrate the Chern-Gauss-Bonnet integral. In contrast to the previous results [4,5,10], we use a new approach that involves estimating the sing
Externí odkaz:
http://arxiv.org/abs/2205.10817