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Direct numerical solution of three-dimensional equations containing elliptic operators

✍ Scribed by E. Dale Martin

Publisher
John Wiley and Sons
Year
1973
Tongue
English
Weight
679 KB
Volume
6
Category
Article
ISSN
0029-5981

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πŸ“œ SIMILAR VOLUMES

Existence of Many Nonequivalent Nonradia
Existence of Many Nonequivalent Nonradial Positive Solutions of Semilinear Elliptic Equations on Three-Dimensional Annuli
✍ 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