Mohamed Jleli, Mokhtar Kirane, Bessem Samet
Abstract:
We establish Liouville-type theorems for the elliptic inequality
where
,
,
,
is the fractional Grushin operator of mixed orders
, defined by
where,
is the fractional Laplacian operator of
order
with respect to the variable
,
and
is the fractional Laplacian operator of order
with respect to the variable
.
Here,
are measurable functions satisfying certain conditions.
Submitted March 1, 2016. Published June 14, 2016.
Math Subject Classifications: 35B53, 35R11, 35J70.
Key Words: Liouville-type theorem; elliptic inequalities; variable exponent;
fractional Grushin operator.
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Mohamed Jleli Department of Mathematics, College of Science King Saud University, P.O. Box 2455 Riyadh 11451, Saudi Arabia email: jleli@ksu.edu.sa | |
Mokhtar Kirane LaSIE, Faculté des Sciences et Technologies Université de La Rochelle Avenue M. Crépeau, 17042 La Rochelle, France email: mokhtar.kirane@univ-lr.fr | |
Bessem Samet Department of Mathematics, College of Science King Saud University, P.O. Box 2455 Riyadh 11451, Saudi Arabia email: bsamet@ksu.edu.sa |
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