Positive solutions for a class of quasilinear singular equations

Date
2004-04-13
Authors
Goncalves, Jose Valdo
Santos, Carlos Alberto
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Singular equations, Radial positive solutions, Fixed points, Shooting method, Lower-upper solutions
Citation
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.