Aranda, CarlosGodoy, Tomas2021-05-142021-05-142004-11-16Aranda, C., & Godoy, T. (2004). Existence and multiplicity of positive solutions for a singular problem associated to the p-Laplacian operator. <i>Electronic Journal of Differential Equations, 2004</i>(132), pp. 1-15.1072-6691https://hdl.handle.net/10877/13553Consider the problem -Δpu = g(u) + λh(u) in Ω with u = 0 on the boundary, where λ ∈ (0, ∞), Ω is a strictly convex bounded and C2 domain in ℝN with N ≥ 2, and 1 p ≤ 2. Under suitable assumptions on g and h that allow a singularity of g at the origin, we show that for λ positive and small enough the above problem has at least two positive solutions in C(Ω)∩(C1(Ω) and that λ = 0 is a bifurcation point from infinity. The existence of positive solutions for problems of the form -Δpu = K(x)g(u) + λh(u) + ƒ(x) in Ω, u = 0 on ∂Ω is also studied.Text15 pages1 file (.pdf)enAttribution 4.0 InternationalSingular problemsp-laplacian operatorNonlinear eigenvalue problemsArticle