Abstract
In this article, we consider the new results for the Kirchhoff-type p-Laplacian Dirichlet problem containing the Riemann-Liouville fractional derivative operators. By using the mountain pass theorem and the genus properties in the critical point theory, we get some new results on the existence and multiplicity of nontrivial weak solutions for such Dirichlet problem.
Highlights
We are concerned with the existence and multiplicity of nontrivial weak solutions for the Kirchhoff-type fractional Dirichlet problem with p-Laplacian of the form ðT b j0
Motivated by the above works, we study the solvability of BVP (1)
We present some basic definitions and notations of the fractional calculus [25, 26]
Summary
We are concerned with the existence and multiplicity of nontrivial weak solutions for the Kirchhoff-type fractional Dirichlet problem with p-Laplacian of the form 8 >
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