Positive solutions for a class of quasilinear singular equations
Goncalves, Jose Valdo
Santos, Carlos Alberto
Southwest Texas State University, Department of Mathematics
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.
Singular equations, Radial positive solutions, Fixed points, Shooting method, Lower-upper solutions
Goncalves, 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.