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In this article, we consider the new results for the Kirchhoff-type - 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.

journal of function spaces

Nontrivial Solutions of the Kirchhoff-Type Fractional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>p</mml:mi></mml:math>-Laplacian Dirichlet Problem

Nontrivial Solutions of the Kirchhoff-Type Fractional p-Laplacian Dirichlet Problem