Behavior of Entire Solutions of a Nonlinear Elliptic Equation with An Inhomogeneous Singular Term

Abstract

In this paper, we are interested in the singular positive solutions of the inhomogeneous radial equationwhere N 1, p > 2, q > 1 and f is a continuous radial and strictly positive function on (0, +).More precisely, we study the solutions u that cannot be extended by continuity at zero, that is, lim r0 u(r) = +.We give existence and nonexistence results and we describe the behavior of entire solutions near infinity.The study needs some assumptions on p, q, N and explicit conditions on the inhomogeneous term f .