We give a new region of existence of solutions to the superhomogeneous
Dirichlet problem \quad \begin{array}{l} -\Delta_{p} u= v^\delta\quad
v>0\quad {in}\quad B,\cr -\Delta_{q} v = u^{\mu}\quad u>0\quad {in}\quad B, \cr
u=v=0 \quad {on}\quad \partial B, \end{array}\leqno{(S_R)} where B is the
ball of radius R>0 centered at the origin in \RR^N. Here δ,μ>0
and Δm​u=div(∣∇u∣m−2∇u) is the m−Laplacian
operator for m>1.Comment: 17 pages, accepted in Asymptotic Analysi