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An elegant perturbation solution for the Lane–Emden equation of the second kind

✍ Scribed by Robert A. Van Gorder

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
173 KB
Volume
16
Category
Article
ISSN
1384-1076

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📜 SIMILAR VOLUMES

Exact first integrals for a Lane–Emden e
Exact first integrals for a Lane–Emden equation of the second kind modeling a thermal explosion in a rectangular slab
✍ Robert A. Van Gorder 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 419 KB

The primary focus of the present paper will be the study of the exact first integral of a Lane-Emden equation of the second kind modeling a thermal explosion in a rectangular slab. Such results generalize those of Harley and Momoniat [Harley, C., Momoniat, E., 2008. J. Math. Anal. Appl. 344, 757-764

On the classification of solutions of th
On the classification of solutions of the Lane–Emden equation on unbounded domains of
✍ Alberto Farina 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 281 KB

In this paper we study solutions, possibly unbounded and sign-changing, of the Lane-Emden equationu = |u| p-1 u on unbounded domains of R N with N 2 and p > 1. We prove various classification theorems and Liouville-type results for C 2 solutions belonging to one of the following classes: stable solu