On the triple junction problem with general surface tension coefficients

Nicholas D. Alikakos, Zhiyuan Geng

We investigate the Allen-Cahn system \begin{equation*} Δu-W_u(u)=0,\quad u:\mathbb{R}^2\rightarrow\mathbb{R}^2, \end{equation*} where $W\in C^2({\mathbb{R}}^2,[0,+\infty ))$ is a pote…