Affiliation:
1. Laboratory LMACS , FST of Beni Mellal, Sultan Moulay Slimane University , Morocco .
Abstract
Abstract
In this paper, we will use the topological degree, introduced by Berkovits, to prove existence of weak solutions to a Neumann boundary value problems for the following nonlinear elliptic equation
-
d
i
v
a
(
x
,
u
,
∇
u
)
=
b
(
x
)
|
u
|
p
-
2
u
+
λ
H
(
x
,
u
,
∇
u
)
,
- div\,\,a\left( {x,u,\nabla u} \right) = b\left( x \right){\left| u \right|^{p - 2}}u + \lambda H\left( {x,u,\nabla u} \right),
where Ω is a bounded smooth domain of
N
.
Subject
Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis
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