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 ร . The same result has been known for n=2 and n 4; in those cases, the result
Asymptotic Behavior of Positive Solutions to Semilinear Elliptic Equations on Expanding Annuli
โ Scribed by S.S. Lin
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 867 KB
- Volume
- 120
- Category
- Article
- ISSN
- 0022-0396
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