𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Liouville property of unbounded fractal layers

✍ Scribed by Lancia, M. R.; Masamune, J.


Book ID
115454899
Publisher
Taylor and Francis Group
Year
2008
Tongue
English
Weight
155 KB
Volume
53
Category
Article
ISSN
1747-6933

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


The Liouville property and a conjecture
✍ Martin T. Barlow; Richard F. Bass; Changfeng Gui πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 382 KB

We consider bounded entire solutions of the nonlinear PDE βˆ†u + uu 3 = 0 in R d and prove that under certain monotonicity conditions these solutions must be constant on hyperplanes. The proof uses a Liouville theorem for harmonic functions associated with a nonuniformly elliptic divergence form opera