Classification of Solutions to a Critically Nonlinear System of Elliptic Equations on Euclidean Half-Space

Mathew R. Gluck, Lei Zhang

For $N\ge 3$ and non-negative real numbers $a_{ij}$ and $b_{ij}$ ($i,j=1,\cdots ,m$), the semi-linear elliptic system \begin{equation*} \begin{cases} Δu_i + \prod_{j = 1}^m u_j^…