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http://dx.doi.org/10.22771/nfaa.2021.26.02.02

SINGULAR SOLUTIONS OF AN INHOMOGENEOUS ELLIPTIC EQUATION  

Bouzelmate, Arij (Department of Mathematics, Faculty of Sciences Abdelmalek Essaadi University)
Gmira, Abdelilah (Department of Mathematics, Faculty of Sciences Abdelmalek Essaadi University)
Publication Information
Nonlinear Functional Analysis and Applications / v.26, no.2, 2021 , pp. 237-272 More about this Journal
Abstract
The main purpose of the present paper is to study the asymptotic behavior near the origin of radial solutions of the equation 𝚫p u(x) + uq(x) + f(x) = 0 in ℝN\{0}, where p > 2, q > 1, N ≥ 1 and f is a continuous radial function on ℝN\{0}. The study depends strongly of the sign of the function f and the asymptotic behavior near the origin of the function |x|λf(|x|) with suitable conditions on λ > 0.
Keywords
Inhomogeneous radial equation; singular solutions; energy function; asymptotic behavior near the origin;
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