论文标题
关于BV同构
On BV homeomorphisms
论文作者
论文摘要
我们获得了飞机上有界变化同构$ f $的图表的重组性，以及$ f $及其倒数的梯度之间的关系。 此外，我们展示了飞机上有界变化同构$ f $的示例，该$ f $满足$（n）$和$（n^{ - 1}）$属性以及雅各布族本身及其倒数的严格阳性，但$ f $ n n n n n n n n n n n n bo $ f $也不是$ f^{-1} $是Sobolev。
We obtain the rectifiability of the graph of a bounded variation homeomorphism $f$ in the plane and relations between gradients of $f$ and its inverse. Further, we show an example of a bounded variation homeomorphism $f$ in the plane which satisfies the $(N)$ and $(N^{-1})$ properties and strict positivity of Jacobian of both itself and its inverse, but neither $f$ nor $f^{-1}$ is Sobolev.
