Boundary Blow-up Solutions to Nonlocal Elliptic Systems of Cooperative Type.

In this paper, we consider the boundary blow-up solutions to the nonlocal elliptic systems of cooperative type. By introducing the boundary measure, the boundary blow-up problem becomes a Cauchy problem. Then using the super-subsolution method, we obtain the existence and nonexistence of positive solutions. Moreover, we study the stability of the minimal solution to the Cauchy problem. [ABSTRACT FROM AUTHOR]