Yuanze Wu

activity

20212026

collaborators

Showing 2026Show all

2 papers · 1 filter

math.AP2026

Entire monotone solutions of the anisotropic Allen-Cahn equation in dimension 5

Haowen Lu, Song Wang, Juncheng Wei +1

In this paper, we consider the anisotropic Allen-Cahn equation $- div a (D u) + W^{'} (u) = 0$ in $R^{N}$ , where $a (p) := D H (p)$ with $H (p) = \frac{1}{2} F (p)^{2}$ and $F$ a un…

math.AP2026

A refined blow-up analysis of the Brezis-Nirenberg equation and its application: The one-bubble case for $N \geq 4$

Rui He, Xiangqing Liu, Juncheng Wei +1

In this paper, we consider the famous Brezis-Nirenberg equation \begin{eqnarray*} \left\{ \aligned &-Δu=λu+|u|^{\frac{4}{N-2}}u,\quad&\mbox{in}\,\, Ω,\\ &u=0,\quad&\mbox{on}\,\, \p…

Entire monotone solutions of the anisotropic Allen-Cahn equation in dimension 5

A refined blow-up analysis of the Brezis-Nirenberg equation and its application: The one-bubble case for N≥4

A refined blow-up analysis of the Brezis-Nirenberg equation and its application: The one-bubble case for $N \geq 4$