Semilinear elliptic system with boundary singularity.

In this paper, we investigate the asymptotic behavior of local solutions for the semilinear elliptic system −Δu = |u|^p−1u with boundary isolated singularity, where 1 < p < n+2/n−2, n ≥ 2 and u is a C² nonnegative vector-valued function defined on the half space. This work generalizes the correspondence results of Bidaut-Véron-Ponce-Véron on the scalar case, and Ghergu-Kim-Shahgholian on the internal singularity case. [ABSTRACT FROM AUTHOR]