On the radial solutions of a p-laplacian equation involving a nonlinear gradient term and initial datum
Year: 2025
Type: article
Abstract: The present paper establishes the existence, uniqueness and asymptotic behavior of positive radial solutions to the following ordinary differential equation with a positive initial datumwhere p > 2 and N > 1.We start by providing a result on the existence of radial positive solutions using the shooting method and an associated energy function.Next, we derived crucial findings regarding the behavior of entire solutions near infinity.More precisely, we prove that the solutions behave like the function l/r, where l is a positive constant.
Source: Results in Nonlinear Analysis
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4413118252