For every integer N≥3N\ge 3N≥3, exponents p,q>0p,q>0p,q>0 with pq>1pq>1pq>1 satisfying 1p+1+1q+1>N−2N\frac{1}{p+1}+\frac{1}{q+1}>\frac{N-2}{N}p+11+q+11>NN−2, the Lane–Emden system … has no positive classical solution (u,v)(u,v)(u,v)…