Non-existence result for radially symmetric solutions to the Lane–Emden–Fowler equations
✍ Scribed by Dragos-Patru Covei
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 239 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
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
## Abstract We study the isentropic compressible Navier–Stokes equations with radially symmetric data in an annular domain. We first prove the global existence and regularity results on the radially symmetric __weak solutions__ with non‐negative bounded densities. Then we prove the global existence
## Abstract Motivated by the study of a two‐dimensional point vortex model, we analyse the following Emden–Fowler type problem with singular potential: where __V__(__x__) = __K__(__x__)/|__x__|^2α^ with α∈(0, 1), 0<__a__⩽__K__(__x__)⩽__b__< + ∞, ∀__x__∈Ω and ∥∇__K__∥~∞~⩽__C__. We first extend var