Qualitative Properties of the Solutions to the Lane–Emden Equation in the Cylindrical Setup

We analyze the Lane–Emden equations in the cylindrical framework. Although the explicit forms of the solutions (which are also called polytropes) are not known, we identify some of their qualitative properties. In particular, possible critical points and zeros of the polytropes are investigated and...

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Bibliographic Details
Main Authors: Arsen Palestini, Simone Recchi
Format: Article
Language:English
Published: MDPI AG 2024-02-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/12/4/542