Author:
Hwang Byung-Hoon,Lee Seung Dae,Kim Yun-Ho
Abstract
Abstract
We are concerned with the following nonlinear problem:
−
div
(
w
(
x
)
|
∇
u
|
p
(
x
)
−
2
∇
u
)
+
|
u
|
p
(
x
)
−
2
u
=
μ
g
(
x
)
|
u
|
p
(
x
)
−
2
u
+
f
(
λ
,
x
,
u
,
∇
u
)
in Ω,
∂
u
∂
n
=
0
on ∂ Ω, which is subject to a Neumann boundary condition, provided that μ is not an eigenvalue of the
p
(
x
)
-Laplacian. The aim of this paper is to study the structure of the set of solutions for the degenerate
p
(
x
)
-Laplacian Neumann problems by applying a bifurcation result for nonlinear operator equations.
MSC:35B32, 35D30, 35J70, 47J10, 47J15.
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Cited by
1 articles.
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