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.
On BV Homeomorphisms
D'Onofrio L.;
2021-01-01
Abstract
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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
