Abstract :
In this paper, we show that the semilinear elliptic systems of the form
− u− μ v = g(v), − v −λ u = f (u), x ∈ Ω,
u = v = 0, x∈ ∂Ω,
(0.1)
possess at least one nonnegative nontrivial solution pair (u, v) ∈ H1
0 (Ω)×H1
0 (Ω), where Ω is a smooth
bounded domain in RN.
© 2006 Elsevier Inc. All rights reserved.
