Multiplicity result for a class of elliptic equations with singular term

Abstract

We consider the existence of nontrivial solutions of the equation [equation presented] where 0 ω is a smooth bounded domain in RN (N ≥3). By variational methods and Nehari set techniques, we show that this problem, under some additional hypotheses on λ > 0, μ > 0, α > 0, 0 ≤ γ < 1 and f L∞(ω), has four nontrivial solutions in H1 0 (ω), and that least one of them is sign-changing.