Tyagi, J.J.Tyagi2025-08-302025-08-302014-01-0110.1007/s40574-014-0003-z2-s2.0-84903735962https://d8.irins.org/handle/IITG2025/21295In this paper we study the existence of solutions to the following semilinear elliptic problem {-div(M(x)∇μ) - μu/|x|² = f(x)/u^θ in Ω, u>0 in Ω, u = 0 on ∂Ω, where Ω is an open bounded subset of ℝ^N, N ≥ 3, 0 ε Ω and θ > 0, 0 ≤ f ε L^m(Ω),1< m < N/2, 0<μ < (N-2/2)² The special feature of this problem is that it has singularity at the origin as well as on the boundary of Ω. © 2014 Unione Matematica Italiana.falseElliptic equation | Hardy potentialArticle2198275945-53March 20146arJournal5