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On the asymptotics of solutions of the Lane-Emden problem for thep-Laplacian

✍ Scribed by Christopher Grumiau; Enea Parini


Publisher
Springer
Year
2008
Tongue
English
Weight
191 KB
Volume
91
Category
Article
ISSN
0003-889X

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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