Shu-Yu Hsu

collaborators

2 papers

math.AP2025

Non-existence of radially symmetric singular self-similar solutions of the fast diffusion equation

Shu-Yu Hsu

Let $n \geq 3$ , $0 < m < \frac{n - 2}{n}$ , $γ > 0$ and $η > 0$ . Suppose either (i) $α \neq = 0$ and $β = 0$ or (ii) $α \in R$ and $β \neq = 0$ holds. We will study the elliptic equation $Δ(f^m/m)…

math.AP2024

A note on the radially symmetry in the moving plane method

Shu-Yu Hsu

Let $Ω \subset R^{n}$ , $n \geq 2$ , be a bounded connected $C^{2}$ domain. For any unit vector $ν \in R^{n}$ , let $T_{λ}^{ν} = {x \in R^{n} : x \cdot ν = λ}$ , $Σ_λ^ν=\{x\inΩ:x\cdot…