Key points are not available for this paper at this time.
We consider the Hamiltonian system with Neumann boundary conditions: \ - u + u=v^q, - v+ v=u^p in, u, v >0 in, _ u= _ v=0 on, \ where >0 is a parameter and is a smooth bounded domain in RN. When (p, q) approaches from below the critical hyperbola N/ (p+1) + N/ (q+1) =N-2, we build a solution which blows-up at a boundary point where the mean curvature achieves its minimum and negative value.
Pistoia et al. (Sun,) studied this question.