Pawan Kumar Mishra, Konijeti Sreenadh
Abstract:
In this article, we show the existence of non-negative solutions of the
fractional p-Kirchhoff problem
where
is a p-fractional type non local operator with kernel K,
is a bounded domain in
with smooth boundary,
M and f are continuous functions, and
is the fractional Sobolev exponent.
Submitted September 2, 2014. Published April 12, 2015.
Math Subject Classifications: 34B27, 35J60, 35B05.
Key Words: Kirchhoff non-local operators; fractional differential equations;
critical exponent.
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Pawan Kumar Mishra Department of Mathematics Indian Institute of Technology Delhi Hauz Khaz, New Delhi-16, India email: pawanmishra31284@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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