Positive solutions for a class of quasilinear singular equations
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This 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.
CitationGoncalves, J. V., & Santos, C. A. (2004). Positive solutions for a class of quasilinear singular equations. Electronic Journal of Differential Equations, 2004(56), pp. 1-15.
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