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
Pages
5
From page
112
To page
116
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)
Serial Year
2011
Journal title
The Journal of Mathematics and Computer Science(JMCS)
Record number
681609
Link To Document