Nemat Nyamoradi, Nguyen Thanh Chung
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: email@example.com, firstname.lastname@example.org
| Nguyen Thanh Chung |
Department of Mathematics, Quang Binh University
312 Ly Thuong Kiet, Dong Hoi, Quang Binh, Vietnam
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