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Existence and uniqueness of positive radial solutions for the Lane–Emden system

✍ Scribed by Robert Dalmasso

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
199 KB
Volume
57
Category
Article
ISSN
0362-546X

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✦ Synopsis

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 known results.

📜 SIMILAR VOLUMES

Positive solutions of Lane–Emden systems
Positive solutions of Lane–Emden systems with negative exponents: Existence, boundary behavior and uniqueness
✍ Zhijun Zhang 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 249 KB

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