Geodesic
Inverse Function Theorems and Jacobians over Metric Spaces
Analysis and Geometry in Metric Spaces, Tome 2 (2014) no. 1 Cet article a éte moissonné depuis la source The Polish Digital Mathematics Library

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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 
@article{AGMS_2014_2_1_a3,
     author = {Granieri, Luca},
     title = {Inverse {Function} {Theorems} and {Jacobians} over {Metric} {Spaces}},
     journal = {Analysis and Geometry in Metric Spaces},
     year = {2014},
     volume = {2},
     number = {1},
     zbl = {1309.26015},
     language = {en},
     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/