Nemat Nyamoradi, Nguyen Thanh Chung
Abstract:
In this article, we study the existence and multiplicity of
solutions to the nonlocal Kirchhoff fractional equation
where
are constants,
is the fractional
Laplace operator,
is a fixed real
number,
is a real parameter and
is an open bounded subset
of
,
,
with Lipschitz boundary,
is a continuous function.
The proofs rely essentially on the genus properties in critical point theory.
Submitted December 15, 2013. Published April 2, 2014.
Math Subject Classifications: 34B27, 35J60, 35B05.
Key Words: Kirchhoff nonlocal operators; fractional differential equations;
genus properties; critical point theory.
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Nemat Nyamoradi Department of Mathematics, Faculty of Sciences Razi University, 67149 Kermanshah, Iran email: nyamoradi@razi.ac.ir, neamat80@yahoo.com | |
Nguyen Thanh Chung Department of Mathematics, Quang Binh University 312 Ly Thuong Kiet, Dong Hoi, Quang Binh, Vietnam email: ntchung82@yahoo.com |
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