Sarika Goyal
Abstract:
In this article, we study the following fractional-Laplacian system
with singular nonlinearity
where
is a bounded domain in
with smooth
boundary
,
,
,
,
,
satisfy
with
, the pair
of parameters
.
The weight functions
such
that
,
,
and
is a sign-changing function such
that
.
Using variational methods, we show existence
and multiplicity of positive solutions with respect to the
pair of parameters
.
Submitted July 20, 2016. Published July 18, 2017.
Math Subject Classifications: 35A15, 35J75, 35R11.
Key Words: Fractional-Laplacian system; singular nonlinearity;
sign-changing weight function.
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Sarika Goyal Department of Mathematics Bennett University, Greater Noida Uttar Pradesh, India email: sarika1.iitd@gmail.com, sarika.goyal@bennett.edu.in |
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