In this paper we study the positive solutions to the n × n pLaplacian system:



−

ϕp1
(u
′
1
)

′ = λh1(t)

u
p1−1−α1
1 + f1(u2)

, t ∈ (0, 1),
−

ϕp2
(u
′
2
)

′ = λh2(t)

u
p2−1−α2
2 + f2(u3)

, t ∈ (0, 1),
.
.
. =
.
.
.
− (ϕpn (u
′
n))′ = λhn(t)

u
pn−1−αn
n + fn(u1)

, t ∈ (0, 1),
uj (0) = 0 = uj (1); j = 1, 2, . . . , n,
where λ is a positive parameter, pj > 1, αj ∈ (0, pj − 1), ϕpj
(w) = |w|
pj−2w,
and hj ∈ C((0, 1), (0, ∞)) ∩ L1
((0, 1), (0, ∞)) for j = 1, 2, . . . , n. Here fj :
[0, ∞) → [0, ∞), j = 1, 2, . . . , n are nontrivial nondecreasing continuous functions with fj (0) = 0 and satisfy a combined sublinear condition at infinity. We
discuss here a bifurcation result, an existence result for λ > 0, and a multiplicity result for a certain range of λ. We establish our results through the
method of sub-super solution