Slowly Decaying Radial Solutions of an Elliptic Equation with Subcritical and Exponents

Abstract

We study radial solutions of the problem

Delta u + u(p) + u(q) = 0, u > 0 in R-N,

where N >= 3 and

N/N - 2 < p < N + 2/N - 2 < q.

We show that if p is close to N/(N - 2), q is close to (N + 2)/(N - 2), and a certain relation holds between them, then the problem has slowly decaying solutions