Given a distribution belonging to a sub-elliptic Sobolev space with respect to a system of locally Lipschitz vector fields, we study the problem of its membership to sharp trace spaces with respect to a given Borei measure. Various applications to geometric trace inequalities and to optimal regularity theorems for solutions of quasilinear sub-elliptic equations are presented.
|Original language||English (US)|
|Number of pages||58|
|Journal||Annali della Scuola normale superiore di Pisa - Classe di scienze|
|State||Published - 1998|
ASJC Scopus subject areas
- Theoretical Computer Science
- Mathematics (miscellaneous)