The aim of this paper is to study a nonlocal elliptic problem in RN (denoted as (P?) below) involving the fractional Laplacian, linear Hardy potential term and critical nonlinear term. According suitable assumptions on set extremal points functional coefficients, we prove that has multiple positive solutions, determine their precise behavior near points. This work extends previous article by fi...

In this paper, we study two classes of Kirchhoff-type problems set on a double-phase framework. That is, the functional space where finding solutions coincides with Musielak–Orlicz–Sobolev $$W^{1,{\mathcal {H}}}_0(\Omega )$$ , modular function $${\mathcal {H}}$$ related to so-called operator. Via variational approach, provide existence and multiplicity results.