Uniqueness and existence of positive solutions for some semilinear elliptic systems
β Scribed by Masaaki Maniwa
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 166 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
We are concerned with the uniqueness and existence of positive solutions for the following Dirichlet
π SIMILAR VOLUMES
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
We prove the uniqueness of the positive radially symmetric solution to the following problem: where p i > 0 (i = 1, 2, 3) and B 1 is the unit ball in R n .