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 $-\mathrm{div}a(Du)+W^{\prime }(u)=0$ in ${\mathbb{R}}^N$, where $a(p):=DH(p)$ with $H(p)=\frac{1}{2}F(p{)}^2$ and $F$ a un…