The numbers of positive solutions by the Lusternik-Schnirelmann category for a quasilinear elliptic system critical with Hardy terms (Q2632530)

Summary: In this paper, we study the quasilinear elliptic system with Sobolev critical exponent involving both concave-convex and Hardy terms in bounded domains. By employing the technique introduced by \textit{V. Benci} and \textit{G. Cerami} [Arch. Ration. Mech. Anal. 114, No. 1, 79--93 (1991; Zbl 0727.35055)], we obtain at least \(\operatorname{cat}(\Omega) + 1\) distinct positive solutions.