Author:
Haghaieghi Somayeh,Afrouzi Ghasem Alizadeh
Abstract
Abstract
In this work, we consider the system:
{
-
Δ
p
u
=
λ
[
g
(
x
)
a
(
u
)
+
f
(
v
)
]
in
Ω
-
Δ
q
v
=
λ
[
g
(
x
)
b
(
v
)
+
h
(
u
)
]
in
Ω
u
=
v
=
0
on
∂
Ω
,
where Ω is a bounded region in R
N
with smooth boundary ∂Ω, Δ
p
is the p-Laplacian operator defined by Δ
p
u = div (|∇u|
p-2∇u), p, q > 1 and g (x) is a C
1 sign-changing the weight function, that maybe negative near the boundary. f, h, a, b are C
1 non-decreasing functions satisfying a(0) ≥ 0, b(0) ≥ 0. Using the method of sub-super solutions, we prove the existence of weak solution.
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Cited by
3 articles.
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