Fei Fang

activity

20182022

collaborators

4 papers

math.AP2022

Weighted Sobolev Space and Hyperbolic Laplacian Equations I

Fei Fang, Zhong Tan, Huiru Xiong

In this paper, the following problem in the hyperbolic space $B^{N}$ will be considered \begin{equation*} -Δ_{\mathbb{B}^N} u=f(x,u), \mathrm{in} \ \mathbb{B}^N.\eqno{(1)} \…

math.AP2020

Global existence and finite time blow-up for the heat flow of H-system with constant mean curvature

Fei Fang, Yannan Liu

In this paper, we use the modified potential well method to study the long time behaviors of solutions to the heat flow of H-system in a bounded smooth domain of $R^{2}$ . Global exis…

math.AP2018

The energy identity of Sacks-Uhlenbeck operator and infinitely many solutions for Brezis-Nirenberg problem

Fei Fang

Let $Ω$ be a bounded smooth domain in $R^{N}$ with $N \geq 3$ , $1 < α$ , $2^{*} = \frac{2 N}{N - 2}$ and ${u_{α}} \subset H_{0}^{1, 2 α} (Ω)$ be a critical point of the functional \be…

math.AP2018

The cone Moser-Trudinger inequalities and their applications

Fei Fang, Chao Ji

In this article, we firstly study the cone Moser-Trudinger inequalities and their best exponents $α_{2}$ on both bounded and unbounded domains $R_{+}^{2}$ . Then, using the con…