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Exact solutions of the Lane–Emden-type equation

✍ Scribed by C.M. Khalique; P. Ntsime


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
141 KB
Volume
13
Category
Article
ISSN
1384-1076

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On the classification of solutions of th
✍ 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