3 papers
math.AP2026
On the Yamabe flow in a bounded domain
Fei Fang, Zhong Tan
This paper investigates the dynamical behaviors of solutions to the Yamabe flow via the modified potential well method. We first establish the local existence and regularity of wea…
math.AP2026
Variational problems related to self-similar solutions of Hardy-Sobolev heat equation in RN
Fei Fang, Zhong Tan
In this paper, we apply a self-similar transformation to convert the parabolic equation with a Sobolev-Hardy term \begin{align*} u_t-Îu= \frac{|u|^{q-2}u}{\left|x\right|^s} & \tex…
math.AP2026
Global existence and blow-up for the Hardy-Sobolev parabolic equation in RN
Fei Fang, Zhong Tan
In this paper, we apply a self-similar transformation to convert the parabolic equation with a Hardy term \begin{equation*} \begin{cases}u_t-Îu-μ\frac{u}{|x|^2}=|u|^{2^*-2} u & \…