Goncalves, Jose ValdoSantos, Carlos Alberto2021-04-192021-04-192004-04-13Goncalves, J. V., & Santos, C. A. (2004). Positive solutions for a class of quasilinear singular equations. <i>Electronic Journal of Differential Equations, 2004</i>(56), pp. 1-15.1072-6691https://hdl.handle.net/10877/13393This article concerns the existence and uniqueness of solutions to the quasilinear equation -Δpu = ρ(x)ƒ(u) in ℝN with u > 0 and u(x) → 0 as |x| → ∞. Here 1 < p < ∞, N ≥ 3, Δp is the p-Laplacian operator, ρ and ƒ are positive functions, and ƒ is singular at 0. Our approach uses fixed point arguments, the shooting method, and a lower-upper solutions argument.Text15 pages1 file (.pdf)enAttribution 4.0 InternationalSingular equationsRadial positive solutionsFixed pointsShooting methodLower-upper solutionsArticle