A class of <i>p</i> <sub>1</sub>(<i>x</i>, ⋅) & <i>p</i> <sub>2</sub>(<i>x</i>, ⋅)-fractional Kirchhoff-type problem with variable <i>s</i>(<i>x</i>, ⋅)-order and without the Ambrosetti-Rabinowitz condition in ℝ<sup> <i>N</i> </sup>
A class of <i>p</i> <sub>1</sub>(<i>x</i>, ⋅) & <i>p</i> <sub>2</sub>(<i>x</i>, ⋅)-fractional Kirchhoff-type problem with variable <i>s</i>(<i>x</i>, ⋅)-order and without the Ambrosetti-Rabinowitz condition in ℝ<sup> <i>N</i> </sup>
Abstract In this article, we study a class of Kirchhoff-type equation driven by the variable s ( x , ⋅)-order fractional p 1 ( x , ⋅) & p 2 ( x , ⋅)-Laplacian. With the help of three different critical point theories, we obtain the existence and multiplicity of …