Sarika Goyal, Konijeti Sreenadh
Abstract:
In this article, we study the fractional Laplacian equation with
singular nonlinearity
where
is a bounded domain in
with smooth
boundary
,
,
,
.
Using variational methods, we show existence and multiplicity of positive
solutions.
Submitted January, 21, 2016. Published June 14, 2016.
Math Subject Classifications: 35A15, 35J75, 35R11.
Key Words: Non-local operator; singular nonlinearity; Nehari manifold;
sign-changing weight function.
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Sarika Goyal Department of Mathematics Indian Institute of Technology Delhi Hauz Khas, New Delhi-16, India email: sarika1.iitd@gmail.com | |
Konijeti Sreenadh Department of Mathematics Indian Institute of Technology Delhi Hauz Khas, New Delhi-16, India email: sreenadh@gmail.com |
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