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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.
Author information
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LD
Luigi D'Onofrio
Dip. di Scienze e Tecnologie, Università degli Studi di Napoli "Parthenope", Napoli, Italy