On the radial solutions of a nonlinear Matukuma-type equation with double singular terms
Abstract
This paper is concerned with the radial solutions of a Matukuma-type nonlinear equation with double singular terms,
∆pu+|x|m1 uδ1 +|x|m2 uδ2 = 0, x ∈ RN,
where p > 2, N ≥ 1, δ2 > δ1 ≥ 1, −p < m2 < m1 ≤ 0 and −N < m2 < m1 ≤ 0.
Our objective is to generalize a Matukuma-type equation since its importance in both geometry and physics. In this context, we prove the existence of global solutions, we give their classification and we present explicit behavior of positive solutions near the origin and infinity.
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