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Existence of positive entire solutions of semilinear elliptic equations

✍ Scribed by Soohyun Bae


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
300 KB
Volume
71
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES


Existence and Nonexistence of Entire Pos
✍ Xuefeng Wang; Aihua W. Wood πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 80 KB

We show that entire positive solutions exist for the semilinear elliptic system u = p x v Ξ± , v = q x u Ξ² on R N , N β‰₯ 3, for positive Ξ± and Ξ², provided that the nonnegative functions p and q are continuous and satisfy appropriate decay conditions at infinity. We also show that entire solutions fail