6533b856fe1ef96bd12b2eff
RESEARCH PRODUCT
A note on the isoperimetric inequality
Jani OnninenJani Onninensubject
Pure mathematicsApplied MathematicsGeneral MathematicsCalculusIntegration by partsIntegral formIsoperimetric inequalityMathematicsdescription
We show that the sharp integral form on the isoperimetric inequality holds for those orientation-preserving mappings f ∈ W l o c n 2 n + 1 ( Ω , R n ) f\in W^\frac {n^2}{n+1}_{loc}(\Omega , \mathbb {R}^n) whose Jacobians obey the rule of integration by parts.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-06-18 | Proceedings of the American Mathematical Society |