First integrals for equations with non-linearities of the Emden-Fowler type
✍ Scribed by William F. Trench; Leon Y. Bahar
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 589 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0020-7462
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📜 SIMILAR VOLUMES
## 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
## Abstract We consider the scattering problem for the fourth‐order non‐linear Schrödinger‐type equation: equation image We show the existence of the modified wave operators for the above equation with cubic case by imposing the mean zero condition for the final data. Copyright © 2006 John Wiley