SINGULAR SOLUTIONS OF AN INHOMOGENEOUS ELLIPTIC EQUATION

Arij Bouzelmate, Abdelilah Gmira

Abstract


The main purpose of the present paper is to study the asymptotic behavior near the origin of radial solutions of the equation

∆_{p}u(x)+u^{q}(x)+f(x)=0 in R^{N}\{0},

where p > 2, q > 1, N ≥ 1 and f is a continuous radial function on R^{N}\{0}. The study depends strongly of the sign of the function f and the asymptotic behavior near the origin of the function |x|^{λ}f(|x|) with suitable conditions on λ > 0.


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ISSN: 1229-1595 (Print), 2466-0973 (Online)