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Existence of clustering high dimensional bump solutions of superlinear elliptic problems on expanding annuli

✍ Scribed by Byeon, Jaeyoung; Kim, Seunghyeok; Pistoia, Angela


Book ID
121192727
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
294 KB
Volume
265
Category
Article
ISSN
0022-1236

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Existence of Many Nonequivalent Nonradia
✍ Jaeyoung Byeon πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 428 KB

We consider a semilinear elliptic equation, 2u+u p =0 on 0 R #[x # R n |R&1< |x|2. We prove that, when the space dimension n is three, the number of nonequivalent nonradial positive solutions of the equation goes to as R Γ„ . The same result has been known for n=2 and n 4; in those cases, the result