Dhanya, Rajendran2022-03-092022-03-092018-11-01Dhanya, R. (2018). Positive solution curves of an infinite semipositone problem. <i>Electronic Journal of Differential Equations, 2018</i>(178), pp. 1-14.1072-6691https://hdl.handle.net/10877/15474In this article we consider the infinite semipositone problem -∆u = λƒ(u) in Ω, a smooth bounded domain in ℝN, and u = 0 on ∂Ω, where ƒ(t) = tq - t-β and 0 < q, β < 1. Using stability analysis we prove the existence of a connected branch of maximal solutions emanating from infinity. Under certain additional hypothesis on the extremal solution at λ = Λ we prove a version of Crandall-Rabinowitz bifurcation theorem which provides a multiplicity result for λ ∈ (Λ, Λ + ε).Text14 pages1 file (.pdf)enAttribution 4.0 InternationalSemipositone problemsTopological methodsBifurcation theoryArticle