Abstract
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 |
|---|---|
| Pages (from-to) | 195-252 |
| Number of pages | 58 |
| Journal | Annali della Scuola normale superiore di Pisa - Classe di scienze |
| Volume | 27 |
| Issue number | 2 |
| State | Published - 1998 |