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Power-series solutions of the Lane-Emden equation

✍ Scribed by C. Mohan; A. R. Al-Bayaty


Publisher
Springer Netherlands
Year
1980
Tongue
English
Weight
579 KB
Volume
73
Category
Article
ISSN
0004-640X

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On the classification of solutions of th
✍ Alberto Farina πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 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