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Smoothness and asymptotics of global positive branches of Δu+λf(u)=0

✍ Scribed by Hansjörg Kielhöfer


Publisher
Springer
Year
1992
Tongue
English
Weight
691 KB
Volume
43
Category
Article
ISSN
0044-2275

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Local behavior and global existence of p
✍ Steven D. Taliaferro 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 102 KB

We study the behavior near the origin of C 2 positive solutions u(x) of in a punctured neighborhood of the origin in R n (n > 2) where the constants λ and a satisfy n n-2 < λ < n+2 n-2 and 0 < a < 1. We also study the existence of C 2 positive solutions of ( \* ) in R n . In both cases we show that