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We carry out an investigation of the existence of infinitely many solutionsto a fractional $p$-Kirchhoff type problem with a singularity and a superlinearnonlinearity with a homogeneous Dirichlet boundary condition. Further thesolution(s) will be proved to be bounded and a weak comparison principle hasalso been proved. A {\it `$C^1$ versus $W_0^{s,p}$'} analysis has also beendiscussed.

zeitschrift für angewandte mathematik und physik

Existence and H\"{o}lder regularity of infinitely many solutions to a  $p$-Kirchhoff type problem involving a singular nonlinearity without the  Ambrosetti-Rabinowitz (AR) condition