Multiplicity Results for a Fractional p ‐Laplacian Equation Involving Homogeneous Nonlinearities With Subcritical or Critical Growth

In this article, we investigate certain subcritical and critical equations involving the fractional ‐Laplace operator. More precisely, using fibering maps and the Nehari manifold, we establish the multiplicity of solutions for the following problem: where is a smooth bounded domain, is the fractional ‐Laplacian, and are positive parameters, and are homogeneous functions of degrees and with . Our results are novel and extend previous works by considering more general growth conditions.