Tuhina Mukherjee, Konijeti Sreenadh
Abstract:
In this article, we study the fractional Laplacian equation
with critical growth and singular nonlinearity
where
is a bounded domain in
with smooth boundary
,
,
,
,
,
,
for some
and
.
We use variational methods to
show the existence and multiplicity of positive solutions of the above
problem with respect to the parameter
.
Submitted December 20, 2015. Published February 23, 2016.
Math Subject Classifications: 35R11, 35R09, 35A15.
Key Words: Nonlocal operator; fractional Laplacian; singular nonlinearities.
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Tuhina Mukherjee Department of Mathematics Indian Institute of Technology Delhi Hauz Khaz, New Delhi-16, India email: tulimukh@gmail.com | |
Konijeti Sreenadh Department of Mathematics Indian Institute of Technology Delhi Hauz Khaz, New Delhi-16, India email: sreenadh@gmail.com |
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