In this article, we consider (component-wise) positive radial solutions of a weakly coupled system of elliptic equations in a ball with homogeneous nonlinearities. The existence is well-known in general: We give a result for the remaining cases. The uniqueness is less studied: We complement the know
✦ LIBER ✦
Positive solutions of Lane–Emden systems with negative exponents: Existence, boundary behavior and uniqueness
✍ Scribed by Zhijun Zhang
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 249 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
✦ Synopsis
We study the existence, boundary behavior and uniqueness of solutions for the singular
where Ω is a bounded domain with smooth boundary in R N , p, s ≥ 0 and q, r > 0. Our results are obtained in a range of p, q, r, s different from those in [M. Ghergu, Lane-Emden systems with negative exponents, J. Funct. Anal. 258 (2010) 3295-3318].
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