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.

Rights

Attribution 4.0 International

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