Title of article :
Nonexistence of result for some p-Laplacian Systems
Author/Authors :
AFROUZI، G.A نويسنده , , Valinejad، Z. نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2011
Abstract :
We study the nonexistence of positive solutions for the system
where
?
denotes the p-Laplacian operator defined by
p
?
?
?
?
?
?????
p
,)(
xvfu
?????
?????
x, 0
,)(
vu
xugv
p
?
?
????
p
p
?
2
1?p
and ??is
a smooth bounded domain in
R
N
)1( ?N
, with smooth boundary
)|(|
zzdivz
,??
and
?
are positive
parameters. Let
K
and
i
The Journal of
Mathematics and Computer Science
0?u
; We establish the nonexistence of positive solutions when
M
; i = 1;2 such that
i
?
?
Rgf ??,0:,
be continuous and we assume that there exist positive numbers
??
1
p
?
1
1
)( Mvkvf
for all
0?v
; and
??
?is large.
Journal title :
The Journal of Mathematics and Computer Science(JMCS)
Journal title :
The Journal of Mathematics and Computer Science(JMCS)