Radial Solutions of the Generalized Chipot–Weissler Nonlinear Elliptic Equation

Abstract

In this paper, we investigate the Chipot–Weissler equation in the context of the degenerate $$p$$ -Laplace operator. We establish the existence and uniqueness of an entire solution, proving its strict positivity under specific conditions to be determined. Additionally, we analyze its asymptotic behavior at infinity and conclude some results.