Calculus of Variations and Geometric Measure Theory

L. Granieri

Inverse function theorems and Jacobians over metric spaces

created by granieri on 09 Jul 2014


Accepted Paper

Inserted: 9 jul 2014
Last Updated: 9 jul 2014

Journal: Analysis and Geometry in Metric Spaces
Year: 2014


We present inversion results for Lipschitz maps $f : \Omega \subset \mathbb R^N \rightarrow (Y, d)$ and stability of inversion for uniformly convergent sequences. These results are based on the Area Formula and on the l.s.c. of metric Jacobians.