Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4621655 | Journal of Mathematical Analysis and Applications | 2008 | 7 Pages |
Abstract
Each measurable map of an open set U⊂Rn to Rn is equal almost everywhere to the gradient of a continuous almost everywhere differentiable function defined on Rn that vanishes, together with its gradient, outside U.
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