Geodesic
Inverse Function Theorems and Jacobians over Metric Spaces
Analysis and Geometry in Metric Spaces, Tome 2 (2014) no. 1.

Voir la notice de l'article provenant de la source The Polish Digital Mathematics Library

We present inversion results for Lipschitz maps f : Ω ⊂ RN → (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.
Mots-clés : Calculus of Variations, Geometric Measure Theory, area formula, lower semicontinuity, Jacobian, Inversion theorem 
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     author = {Granieri, Luca},
     title = {Inverse {Function} {Theorems} and {Jacobians} over {Metric} {Spaces}},
     journal = {Analysis and Geometry in Metric Spaces},
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     url = {http://geodesic.mathdoc.fr/item/AGMS_2014_2_1_a3/}
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Granieri, Luca. Inverse Function Theorems and Jacobians over Metric Spaces. Analysis and Geometry in Metric Spaces, Tome 2 (2014) no. 1. http://geodesic.mathdoc.fr/item/AGMS_2014_2_1_a3/