๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Some properties of the distance function and a conjecture of De Giorgi

โœ Scribed by Manolo Eminenti; Carlo Mantegazza


Publisher
Springer-Verlag
Year
2004
Tongue
English
Weight
582 KB
Volume
14
Category
Article
ISSN
1050-6926

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


The Liouville property and a conjecture
โœ Martin T. Barlow; Richard F. Bass; Changfeng Gui ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 382 KB

We consider bounded entire solutions of the nonlinear PDE โˆ†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

On optimal regularity of free boundary p
โœ Herbert Koch; Giovanni Leoni; Massimiliano Morini ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 195 KB

## Abstract We present a general theory to study optimal regularity for a large class of nonlinear elliptic systems satisfying general boundary conditions and in the presence of a geometric transmission condition on the free boundary. As an application we give a full positive answer to a conjecture