We show that the sharp integral form on the isoperimetric inequality holds for those orientation-preserving mappings f ∈ Wloc n2/n+1 (Ω, ℝn whose Jacobians obey the rule of integration by parts.
|Original language||English (US)|
|Number of pages||5|
|Journal||Proceedings of the American Mathematical Society|
|State||Published - Dec 2003|
ASJC Scopus subject areas
- Applied Mathematics